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Finding the Fourth Proportional to 80,428.32, 120,604.05 and 47,158.50

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Solution

The fourth proportional to 80,428.32, 120,604.05 and 47,158.50 is: 70,715.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,428.32 : 120,604.05 = 47,158.50 : x
  2. Step 2: Convert to fraction form
    80,428.32/120,604.05 = 47,158.50/x
  3. Step 3: Cross multiply
    80,428.32x = 120,604.05 × 47,158.50
  4. Step 4: Simplify right side
    80,428.32x = 5,687,506,091.93
  5. Step 5: Solve for x
    x = 5,687,506,091.93/80,428.32
  6. Step 6: Final answer
    x = 70,715.22

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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.