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Finding the Fourth Proportional to 80,329.95, 120,446.28 and 35,948.43

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Solution

The fourth proportional to 80,329.95, 120,446.28 and 35,948.43 is: 53,900.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,329.95 : 120,446.28 = 35,948.43 : x
  2. Step 2: Convert to fraction form
    80,329.95/120,446.28 = 35,948.43/x
  3. Step 3: Cross multiply
    80,329.95x = 120,446.28 × 35,948.43
  4. Step 4: Simplify right side
    80,329.95x = 4,329,854,665.34
  5. Step 5: Solve for x
    x = 4,329,854,665.34/80,329.95
  6. Step 6: Final answer
    x = 53,900.88

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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.