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Finding the Fourth Proportional to 107,055.46, 160,591.50 and 32,169.76

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Solution

The fourth proportional to 107,055.46, 160,591.50 and 32,169.76 is: 48,257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,055.46 : 160,591.50 = 32,169.76 : x
  2. Step 2: Convert to fraction form
    107,055.46/160,591.50 = 32,169.76/x
  3. Step 3: Cross multiply
    107,055.46x = 160,591.50 × 32,169.76
  4. Step 4: Simplify right side
    107,055.46x = 5,166,190,013.04
  5. Step 5: Solve for x
    x = 5,166,190,013.04/107,055.46
  6. Step 6: Final answer
    x = 48,257.14

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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.