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Finding the Fourth Proportional to 87,204, 130,807.20 and 24,874.56

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Solution

The fourth proportional to 87,204, 130,807.20 and 24,874.56 is: 37,312.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,204 : 130,807.20 = 24,874.56 : x
  2. Step 2: Convert to fraction form
    87,204/130,807.20 = 24,874.56/x
  3. Step 3: Cross multiply
    87,204x = 130,807.20 × 24,874.56
  4. Step 4: Simplify right side
    87,204x = 3,253,771,544.83
  5. Step 5: Solve for x
    x = 3,253,771,544.83/87,204
  6. Step 6: Final answer
    x = 37,312.18

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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.