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Finding the Fourth Proportional to 87,102, 130,654.62 and 24,774.12

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Solution

The fourth proportional to 87,102, 130,654.62 and 24,774.12 is: 37,161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,102 : 130,654.62 = 24,774.12 : x
  2. Step 2: Convert to fraction form
    87,102/130,654.62 = 24,774.12/x
  3. Step 3: Cross multiply
    87,102x = 130,654.62 × 24,774.12
  4. Step 4: Simplify right side
    87,102x = 3,236,853,234.43
  5. Step 5: Solve for x
    x = 3,236,853,234.43/87,102
  6. Step 6: Final answer
    x = 37,161.64

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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.