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Finding the Fourth Proportional to 71,179.74, 106,779.42 and 24,426.54

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Solution

The fourth proportional to 71,179.74, 106,779.42 and 24,426.54 is: 36,643.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,179.74 : 106,779.42 = 24,426.54 : x
  2. Step 2: Convert to fraction form
    71,179.74/106,779.42 = 24,426.54/x
  3. Step 3: Cross multiply
    71,179.74x = 106,779.42 × 24,426.54
  4. Step 4: Simplify right side
    71,179.74x = 2,608,251,773.81
  5. Step 5: Solve for x
    x = 2,608,251,773.81/71,179.74
  6. Step 6: Final answer
    x = 36,643.18

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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.