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Finding the Fourth Proportional to 101,562.96, 152,350.92 and 31,445.04

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Solution

The fourth proportional to 101,562.96, 152,350.92 and 31,445.04 is: 47,169.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,562.96 : 152,350.92 = 31,445.04 : x
  2. Step 2: Convert to fraction form
    101,562.96/152,350.92 = 31,445.04/x
  3. Step 3: Cross multiply
    101,562.96x = 152,350.92 × 31,445.04
  4. Step 4: Simplify right side
    101,562.96x = 4,790,680,773.44
  5. Step 5: Solve for x
    x = 4,790,680,773.44/101,562.96
  6. Step 6: Final answer
    x = 47,169.57

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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.