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Finding the Fourth Proportional to 87,175.80, 130,763.70 and 24,838.20

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Solution

The fourth proportional to 87,175.80, 130,763.70 and 24,838.20 is: 37,257.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,175.80 : 130,763.70 = 24,838.20 : x
  2. Step 2: Convert to fraction form
    87,175.80/130,763.70 = 24,838.20/x
  3. Step 3: Cross multiply
    87,175.80x = 130,763.70 × 24,838.20
  4. Step 4: Simplify right side
    87,175.80x = 3,247,934,933.34
  5. Step 5: Solve for x
    x = 3,247,934,933.34/87,175.80
  6. Step 6: Final answer
    x = 37,257.30

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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.