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Finding the Fourth Proportional to 52,166.72, 71,972.16 and 29,503.04

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Solution

The fourth proportional to 52,166.72, 71,972.16 and 29,503.04 is: 40,704.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,166.72 : 71,972.16 = 29,503.04 : x
  2. Step 2: Convert to fraction form
    52,166.72/71,972.16 = 29,503.04/x
  3. Step 3: Cross multiply
    52,166.72x = 71,972.16 × 29,503.04
  4. Step 4: Simplify right side
    52,166.72x = 2,123,397,515.37
  5. Step 5: Solve for x
    x = 2,123,397,515.37/52,166.72
  6. Step 6: Final answer
    x = 40,704.06

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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.