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Finding the Fourth Proportional to 73,641.38, 110,359.10 and 39,834.42

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Solution

The fourth proportional to 73,641.38, 110,359.10 and 39,834.42 is: 59,695.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,641.38 : 110,359.10 = 39,834.42 : x
  2. Step 2: Convert to fraction form
    73,641.38/110,359.10 = 39,834.42/x
  3. Step 3: Cross multiply
    73,641.38x = 110,359.10 × 39,834.42
  4. Step 4: Simplify right side
    73,641.38x = 4,396,089,989.25
  5. Step 5: Solve for x
    x = 4,396,089,989.25/73,641.38
  6. Step 6: Final answer
    x = 59,695.92

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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.