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Finding the Fourth Proportional to 27,907.50, 38,512.95 and 15,332.25

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Solution

The fourth proportional to 27,907.50, 38,512.95 and 15,332.25 is: 21,158.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,907.50 : 38,512.95 = 15,332.25 : x
  2. Step 2: Convert to fraction form
    27,907.50/38,512.95 = 15,332.25/x
  3. Step 3: Cross multiply
    27,907.50x = 38,512.95 × 15,332.25
  4. Step 4: Simplify right side
    27,907.50x = 590,490,177.64
  5. Step 5: Solve for x
    x = 590,490,177.64/27,907.50
  6. Step 6: Final answer
    x = 21,158.83

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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.