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Finding the Fourth Proportional to 87,073.96, 130,634.70 and 24,745

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Solution

The fourth proportional to 87,073.96, 130,634.70 and 24,745 is: 37,124.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,073.96 : 130,634.70 = 24,745 : x
  2. Step 2: Convert to fraction form
    87,073.96/130,634.70 = 24,745/x
  3. Step 3: Cross multiply
    87,073.96x = 130,634.70 × 24,745
  4. Step 4: Simplify right side
    87,073.96x = 3,232,555,651.50
  5. Step 5: Solve for x
    x = 3,232,555,651.50/87,073.96
  6. Step 6: Final answer
    x = 37,124.25

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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.