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Finding the Fourth Proportional to 57,149.34, 78,868.68 and 31,998.84

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Solution

The fourth proportional to 57,149.34, 78,868.68 and 31,998.84 is: 44,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,149.34 : 78,868.68 = 31,998.84 : x
  2. Step 2: Convert to fraction form
    57,149.34/78,868.68 = 31,998.84/x
  3. Step 3: Cross multiply
    57,149.34x = 78,868.68 × 31,998.84
  4. Step 4: Simplify right side
    57,149.34x = 2,523,706,272.33
  5. Step 5: Solve for x
    x = 2,523,706,272.33/57,149.34
  6. Step 6: Final answer
    x = 44,159.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.