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Finding the Fourth Proportional to 71,626.50, 107,411.94 and 24,228.92

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Solution

The fourth proportional to 71,626.50, 107,411.94 and 24,228.92 is: 36,333.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,626.50 : 107,411.94 = 24,228.92 : x
  2. Step 2: Convert to fraction form
    71,626.50/107,411.94 = 24,228.92/x
  3. Step 3: Cross multiply
    71,626.50x = 107,411.94 × 24,228.92
  4. Step 4: Simplify right side
    71,626.50x = 2,602,475,301.30
  5. Step 5: Solve for x
    x = 2,602,475,301.30/71,626.50
  6. Step 6: Final answer
    x = 36,333.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.