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Finding the Fourth Proportional to 73,842.57, 110,770.71 and 57,221.20

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Solution

The fourth proportional to 73,842.57, 110,770.71 and 57,221.20 is: 85,837.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,842.57 : 110,770.71 = 57,221.20 : x
  2. Step 2: Convert to fraction form
    73,842.57/110,770.71 = 57,221.20/x
  3. Step 3: Cross multiply
    73,842.57x = 110,770.71 × 57,221.20
  4. Step 4: Simplify right side
    73,842.57x = 6,338,432,874.94
  5. Step 5: Solve for x
    x = 6,338,432,874.94/73,842.57
  6. Step 6: Final answer
    x = 85,837.11

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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.