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Finding the Fourth Proportional to 75,842.50, 113,675.17 and 57,062.20

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Solution

The fourth proportional to 75,842.50, 113,675.17 and 57,062.20 is: 85,526.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,842.50 : 113,675.17 = 57,062.20 : x
  2. Step 2: Convert to fraction form
    75,842.50/113,675.17 = 57,062.20/x
  3. Step 3: Cross multiply
    75,842.50x = 113,675.17 × 57,062.20
  4. Step 4: Simplify right side
    75,842.50x = 6,486,555,285.57
  5. Step 5: Solve for x
    x = 6,486,555,285.57/75,842.50
  6. Step 6: Final answer
    x = 85,526.65

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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.