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Finding the Fourth Proportional to 87,201.50, 130,803.48 and 24,872

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Solution

The fourth proportional to 87,201.50, 130,803.48 and 24,872 is: 37,308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,201.50 : 130,803.48 = 24,872 : x
  2. Step 2: Convert to fraction form
    87,201.50/130,803.48 = 24,872/x
  3. Step 3: Cross multiply
    87,201.50x = 130,803.48 × 24,872
  4. Step 4: Simplify right side
    87,201.50x = 3,253,344,154.56
  5. Step 5: Solve for x
    x = 3,253,344,154.56/87,201.50
  6. Step 6: Final answer
    x = 37,308.35

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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.