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Finding the Fourth Proportional to 61,419.92, 84,758.49 and 34,562.41

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Solution

The fourth proportional to 61,419.92, 84,758.49 and 34,562.41 is: 47,695.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,419.92 : 84,758.49 = 34,562.41 : x
  2. Step 2: Convert to fraction form
    61,419.92/84,758.49 = 34,562.41/x
  3. Step 3: Cross multiply
    61,419.92x = 84,758.49 × 34,562.41
  4. Step 4: Simplify right side
    61,419.92x = 2,929,457,470.46
  5. Step 5: Solve for x
    x = 2,929,457,470.46/61,419.92
  6. Step 6: Final answer
    x = 47,695.56

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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.