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Finding the Fourth Proportional to 71,084, 106,626.60 and 24,337.28

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Solution

The fourth proportional to 71,084, 106,626.60 and 24,337.28 is: 36,506.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,084 : 106,626.60 = 24,337.28 : x
  2. Step 2: Convert to fraction form
    71,084/106,626.60 = 24,337.28/x
  3. Step 3: Cross multiply
    71,084x = 106,626.60 × 24,337.28
  4. Step 4: Simplify right side
    71,084x = 2,595,001,419.65
  5. Step 5: Solve for x
    x = 2,595,001,419.65/71,084
  6. Step 6: Final answer
    x = 36,506.13

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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.