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Finding the Fourth Proportional to 71,882.78, 99,198.64 and 41,686.03

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Solution

The fourth proportional to 71,882.78, 99,198.64 and 41,686.03 is: 57,526.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,882.78 : 99,198.64 = 41,686.03 : x
  2. Step 2: Convert to fraction form
    71,882.78/99,198.64 = 41,686.03/x
  3. Step 3: Cross multiply
    71,882.78x = 99,198.64 × 41,686.03
  4. Step 4: Simplify right side
    71,882.78x = 4,135,197,483.00
  5. Step 5: Solve for x
    x = 4,135,197,483.00/71,882.78
  6. Step 6: Final answer
    x = 57,526.96

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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.