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Finding the Fourth Proportional to 49,201.20, 73,672.20 and 38,746.80

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Solution

The fourth proportional to 49,201.20, 73,672.20 and 38,746.80 is: 58,018.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,201.20 : 73,672.20 = 38,746.80 : x
  2. Step 2: Convert to fraction form
    49,201.20/73,672.20 = 38,746.80/x
  3. Step 3: Cross multiply
    49,201.20x = 73,672.20 × 38,746.80
  4. Step 4: Simplify right side
    49,201.20x = 2,854,561,998.96
  5. Step 5: Solve for x
    x = 2,854,561,998.96/49,201.20
  6. Step 6: Final answer
    x = 58,018.14

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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.