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Finding the Fourth Proportional to 62,857.56, 86,744.92 and 34,178.88

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Solution

The fourth proportional to 62,857.56, 86,744.92 and 34,178.88 is: 47,167.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,857.56 : 86,744.92 = 34,178.88 : x
  2. Step 2: Convert to fraction form
    62,857.56/86,744.92 = 34,178.88/x
  3. Step 3: Cross multiply
    62,857.56x = 86,744.92 × 34,178.88
  4. Step 4: Simplify right side
    62,857.56x = 2,964,844,211.29
  5. Step 5: Solve for x
    x = 2,964,844,211.29/62,857.56
  6. Step 6: Final answer
    x = 47,167.66

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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.