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Finding the Fourth Proportional to 38,502.40, 57,755.40 and 12,209.20

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Solution

The fourth proportional to 38,502.40, 57,755.40 and 12,209.20 is: 18,314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,502.40 : 57,755.40 = 12,209.20 : x
  2. Step 2: Convert to fraction form
    38,502.40/57,755.40 = 12,209.20/x
  3. Step 3: Cross multiply
    38,502.40x = 57,755.40 × 12,209.20
  4. Step 4: Simplify right side
    38,502.40x = 705,147,229.68
  5. Step 5: Solve for x
    x = 705,147,229.68/38,502.40
  6. Step 6: Final answer
    x = 18,314.37

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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.