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Finding the Fourth Proportional to 129,065.32, 193,523.50 and 50,087.24

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Solution

The fourth proportional to 129,065.32, 193,523.50 and 50,087.24 is: 75,101.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,065.32 : 193,523.50 = 50,087.24 : x
  2. Step 2: Convert to fraction form
    129,065.32/193,523.50 = 50,087.24/x
  3. Step 3: Cross multiply
    129,065.32x = 193,523.50 × 50,087.24
  4. Step 4: Simplify right side
    129,065.32x = 9,693,057,990.14
  5. Step 5: Solve for x
    x = 9,693,057,990.14/129,065.32
  6. Step 6: Final answer
    x = 75,101.96

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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.