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Finding the Fourth Proportional to 38,507.92, 57,761.88 and 16,320.80

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Solution

The fourth proportional to 38,507.92, 57,761.88 and 16,320.80 is: 24,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,507.92 : 57,761.88 = 16,320.80 : x
  2. Step 2: Convert to fraction form
    38,507.92/57,761.88 = 16,320.80/x
  3. Step 3: Cross multiply
    38,507.92x = 57,761.88 × 16,320.80
  4. Step 4: Simplify right side
    38,507.92x = 942,720,091.10
  5. Step 5: Solve for x
    x = 942,720,091.10/38,507.92
  6. Step 6: Final answer
    x = 24,481.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.