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Finding the Fourth Proportional to 57,523.69, 86,306.29 and 20,089.30

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Solution

The fourth proportional to 57,523.69, 86,306.29 and 20,089.30 is: 30,141.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,523.69 : 86,306.29 = 20,089.30 : x
  2. Step 2: Convert to fraction form
    57,523.69/86,306.29 = 20,089.30/x
  3. Step 3: Cross multiply
    57,523.69x = 86,306.29 × 20,089.30
  4. Step 4: Simplify right side
    57,523.69x = 1,733,832,951.70
  5. Step 5: Solve for x
    x = 1,733,832,951.70/57,523.69
  6. Step 6: Final answer
    x = 30,141.20

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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.