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Finding the Fourth Proportional to 40,871.38, 56,407.55 and 22,966

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Solution

The fourth proportional to 40,871.38, 56,407.55 and 22,966 is: 31,695.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,871.38 : 56,407.55 = 22,966 : x
  2. Step 2: Convert to fraction form
    40,871.38/56,407.55 = 22,966/x
  3. Step 3: Cross multiply
    40,871.38x = 56,407.55 × 22,966
  4. Step 4: Simplify right side
    40,871.38x = 1,295,455,793.30
  5. Step 5: Solve for x
    x = 1,295,455,793.30/40,871.38
  6. Step 6: Final answer
    x = 31,695.92

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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.