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Finding the Fourth Proportional to 71,871.72, 99,182.94 and 40,042.64

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Solution

The fourth proportional to 71,871.72, 99,182.94 and 40,042.64 is: 55,258.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,871.72 : 99,182.94 = 40,042.64 : x
  2. Step 2: Convert to fraction form
    71,871.72/99,182.94 = 40,042.64/x
  3. Step 3: Cross multiply
    71,871.72x = 99,182.94 × 40,042.64
  4. Step 4: Simplify right side
    71,871.72x = 3,971,546,760.56
  5. Step 5: Solve for x
    x = 3,971,546,760.56/71,871.72
  6. Step 6: Final answer
    x = 55,258.82

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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.