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Finding the Fourth Proportional to 80,775.68, 121,175.04 and 25,376

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Solution

The fourth proportional to 80,775.68, 121,175.04 and 25,376 is: 38,067.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,775.68 : 121,175.04 = 25,376 : x
  2. Step 2: Convert to fraction form
    80,775.68/121,175.04 = 25,376/x
  3. Step 3: Cross multiply
    80,775.68x = 121,175.04 × 25,376
  4. Step 4: Simplify right side
    80,775.68x = 3,074,937,815.04
  5. Step 5: Solve for x
    x = 3,074,937,815.04/80,775.68
  6. Step 6: Final answer
    x = 38,067.62

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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.