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Finding the Fourth Proportional to 47,872.80, 71,780.40 and 24,544.80

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Solution

The fourth proportional to 47,872.80, 71,780.40 and 24,544.80 is: 36,802.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,872.80 : 71,780.40 = 24,544.80 : x
  2. Step 2: Convert to fraction form
    47,872.80/71,780.40 = 24,544.80/x
  3. Step 3: Cross multiply
    47,872.80x = 71,780.40 × 24,544.80
  4. Step 4: Simplify right side
    47,872.80x = 1,761,835,561.92
  5. Step 5: Solve for x
    x = 1,761,835,561.92/47,872.80
  6. Step 6: Final answer
    x = 36,802.43

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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.