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Finding the Fourth Proportional to 27,553.50, 38,024.10 and 14,978.52

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Solution

The fourth proportional to 27,553.50, 38,024.10 and 14,978.52 is: 20,670.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,553.50 : 38,024.10 = 14,978.52 : x
  2. Step 2: Convert to fraction form
    27,553.50/38,024.10 = 14,978.52/x
  3. Step 3: Cross multiply
    27,553.50x = 38,024.10 × 14,978.52
  4. Step 4: Simplify right side
    27,553.50x = 569,544,742.33
  5. Step 5: Solve for x
    x = 569,544,742.33/27,553.50
  6. Step 6: Final answer
    x = 20,670.50

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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.