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Finding the Fourth Proportional to 27,647.52, 38,153.52 and 15,072.24

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Solution

The fourth proportional to 27,647.52, 38,153.52 and 15,072.24 is: 20,799.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,647.52 : 38,153.52 = 15,072.24 : x
  2. Step 2: Convert to fraction form
    27,647.52/38,153.52 = 15,072.24/x
  3. Step 3: Cross multiply
    27,647.52x = 38,153.52 × 15,072.24
  4. Step 4: Simplify right side
    27,647.52x = 575,059,010.28
  5. Step 5: Solve for x
    x = 575,059,010.28/27,647.52
  6. Step 6: Final answer
    x = 20,799.66

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.