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Finding the Fourth Proportional to 52,084.57, 71,871.57 and 29,110.15

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Solution

The fourth proportional to 52,084.57, 71,871.57 and 29,110.15 is: 40,169.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,084.57 : 71,871.57 = 29,110.15 : x
  2. Step 2: Convert to fraction form
    52,084.57/71,871.57 = 29,110.15/x
  3. Step 3: Cross multiply
    52,084.57x = 71,871.57 × 29,110.15
  4. Step 4: Simplify right side
    52,084.57x = 2,092,192,183.44
  5. Step 5: Solve for x
    x = 2,092,192,183.44/52,084.57
  6. Step 6: Final answer
    x = 40,169.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.