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Finding the Fourth Proportional to 57,138.30, 78,849.99 and 31,988.70

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Solution

The fourth proportional to 57,138.30, 78,849.99 and 31,988.70 is: 44,143.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,138.30 : 78,849.99 = 31,988.70 : x
  2. Step 2: Convert to fraction form
    57,138.30/78,849.99 = 31,988.70/x
  3. Step 3: Cross multiply
    57,138.30x = 78,849.99 × 31,988.70
  4. Step 4: Simplify right side
    57,138.30x = 2,522,308,675.11
  5. Step 5: Solve for x
    x = 2,522,308,675.11/57,138.30
  6. Step 6: Final answer
    x = 44,143.92

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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.