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Finding the Fourth Proportional to 57,138.75, 78,851.48 and 31,988.43

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Solution

The fourth proportional to 57,138.75, 78,851.48 and 31,988.43 is: 44,144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,138.75 : 78,851.48 = 31,988.43 : x
  2. Step 2: Convert to fraction form
    57,138.75/78,851.48 = 31,988.43/x
  3. Step 3: Cross multiply
    57,138.75x = 78,851.48 × 31,988.43
  4. Step 4: Simplify right side
    57,138.75x = 2,522,335,048.38
  5. Step 5: Solve for x
    x = 2,522,335,048.38/57,138.75
  6. Step 6: Final answer
    x = 44,144.04

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Why These Related Problems?

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