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Finding the Fourth Proportional to 72,002.68, 108,052.22 and 29,882.80

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Solution

The fourth proportional to 72,002.68, 108,052.22 and 29,882.80 is: 44,844.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,002.68 : 108,052.22 = 29,882.80 : x
  2. Step 2: Convert to fraction form
    72,002.68/108,052.22 = 29,882.80/x
  3. Step 3: Cross multiply
    72,002.68x = 108,052.22 × 29,882.80
  4. Step 4: Simplify right side
    72,002.68x = 3,228,902,879.82
  5. Step 5: Solve for x
    x = 3,228,902,879.82/72,002.68
  6. Step 6: Final answer
    x = 44,844.20

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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.