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Finding the Fourth Proportional to 107,049.46, 160,582.50 and 32,163.76

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Solution

The fourth proportional to 107,049.46, 160,582.50 and 32,163.76 is: 48,248.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,049.46 : 160,582.50 = 32,163.76 : x
  2. Step 2: Convert to fraction form
    107,049.46/160,582.50 = 32,163.76/x
  3. Step 3: Cross multiply
    107,049.46x = 160,582.50 × 32,163.76
  4. Step 4: Simplify right side
    107,049.46x = 5,164,936,990.20
  5. Step 5: Solve for x
    x = 5,164,936,990.20/107,049.46
  6. Step 6: Final answer
    x = 48,248.14

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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.