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Finding the Fourth Proportional to 80,294.92, 120,407.46 and 42,846.70

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Solution

The fourth proportional to 80,294.92, 120,407.46 and 42,846.70 is: 64,251.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,294.92 : 120,407.46 = 42,846.70 : x
  2. Step 2: Convert to fraction form
    80,294.92/120,407.46 = 42,846.70/x
  3. Step 3: Cross multiply
    80,294.92x = 120,407.46 × 42,846.70
  4. Step 4: Simplify right side
    80,294.92x = 5,159,062,316.38
  5. Step 5: Solve for x
    x = 5,159,062,316.38/80,294.92
  6. Step 6: Final answer
    x = 64,251.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.