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Finding the Fourth Proportional to 41,326.88, 57,031.29 and 22,464

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Solution

The fourth proportional to 41,326.88, 57,031.29 and 22,464 is: 31,000.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,326.88 : 57,031.29 = 22,464 : x
  2. Step 2: Convert to fraction form
    41,326.88/57,031.29 = 22,464/x
  3. Step 3: Cross multiply
    41,326.88x = 57,031.29 × 22,464
  4. Step 4: Simplify right side
    41,326.88x = 1,281,150,898.56
  5. Step 5: Solve for x
    x = 1,281,150,898.56/41,326.88
  6. Step 6: Final answer
    x = 31,000.43

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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.