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Finding the Fourth Proportional to 71,791.12, 107,588.13 and 36,657.10

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Solution

The fourth proportional to 71,791.12, 107,588.13 and 36,657.10 is: 54,935.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,791.12 : 107,588.13 = 36,657.10 : x
  2. Step 2: Convert to fraction form
    71,791.12/107,588.13 = 36,657.10/x
  3. Step 3: Cross multiply
    71,791.12x = 107,588.13 × 36,657.10
  4. Step 4: Simplify right side
    71,791.12x = 3,943,868,840.22
  5. Step 5: Solve for x
    x = 3,943,868,840.22/71,791.12
  6. Step 6: Final answer
    x = 54,935.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.