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Finding the Fourth Proportional to 80,175.68, 120,275.04 and 24,776

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Solution

The fourth proportional to 80,175.68, 120,275.04 and 24,776 is: 37,167.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,175.68 : 120,275.04 = 24,776 : x
  2. Step 2: Convert to fraction form
    80,175.68/120,275.04 = 24,776/x
  3. Step 3: Cross multiply
    80,175.68x = 120,275.04 × 24,776
  4. Step 4: Simplify right side
    80,175.68x = 2,979,934,391.04
  5. Step 5: Solve for x
    x = 2,979,934,391.04/80,175.68
  6. Step 6: Final answer
    x = 37,167.56

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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.