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Finding the Fourth Proportional to 102,186.96, 153,286.92 and 32,069.04

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Solution

The fourth proportional to 102,186.96, 153,286.92 and 32,069.04 is: 48,105.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,186.96 : 153,286.92 = 32,069.04 : x
  2. Step 2: Convert to fraction form
    102,186.96/153,286.92 = 32,069.04/x
  3. Step 3: Cross multiply
    102,186.96x = 153,286.92 × 32,069.04
  4. Step 4: Simplify right side
    102,186.96x = 4,915,764,368.96
  5. Step 5: Solve for x
    x = 4,915,764,368.96/102,186.96
  6. Step 6: Final answer
    x = 48,105.59

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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.