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Finding the Fourth Proportional to 80,742, 111,423.96 and 45,414

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Solution

The fourth proportional to 80,742, 111,423.96 and 45,414 is: 62,671.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,742 : 111,423.96 = 45,414 : x
  2. Step 2: Convert to fraction form
    80,742/111,423.96 = 45,414/x
  3. Step 3: Cross multiply
    80,742x = 111,423.96 × 45,414
  4. Step 4: Simplify right side
    80,742x = 5,060,207,719.44
  5. Step 5: Solve for x
    x = 5,060,207,719.44/80,742
  6. Step 6: Final answer
    x = 62,671.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.