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Finding the Fourth Proportional to 71,222.40, 106,843.20 and 24,489.60

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Solution

The fourth proportional to 71,222.40, 106,843.20 and 24,489.60 is: 36,737.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,222.40 : 106,843.20 = 24,489.60 : x
  2. Step 2: Convert to fraction form
    71,222.40/106,843.20 = 24,489.60/x
  3. Step 3: Cross multiply
    71,222.40x = 106,843.20 × 24,489.60
  4. Step 4: Simplify right side
    71,222.40x = 2,616,547,230.72
  5. Step 5: Solve for x
    x = 2,616,547,230.72/71,222.40
  6. Step 6: Final answer
    x = 36,737.70

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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.