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Finding the Fourth Proportional to 47,872.80, 71,812.40 and 16,282.40

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Solution

The fourth proportional to 47,872.80, 71,812.40 and 16,282.40 is: 24,424.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,872.80 : 71,812.40 = 16,282.40 : x
  2. Step 2: Convert to fraction form
    47,872.80/71,812.40 = 16,282.40/x
  3. Step 3: Cross multiply
    47,872.80x = 71,812.40 × 16,282.40
  4. Step 4: Simplify right side
    47,872.80x = 1,169,278,221.76
  5. Step 5: Solve for x
    x = 1,169,278,221.76/47,872.80
  6. Step 6: Final answer
    x = 24,424.69

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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.