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Finding the Fourth Proportional to 41,614.88, 57,428.73 and 22,752

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Solution

The fourth proportional to 41,614.88, 57,428.73 and 22,752 is: 31,397.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,614.88 : 57,428.73 = 22,752 : x
  2. Step 2: Convert to fraction form
    41,614.88/57,428.73 = 22,752/x
  3. Step 3: Cross multiply
    41,614.88x = 57,428.73 × 22,752
  4. Step 4: Simplify right side
    41,614.88x = 1,306,618,464.96
  5. Step 5: Solve for x
    x = 1,306,618,464.96/41,614.88
  6. Step 6: Final answer
    x = 31,397.87

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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.