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Finding the Fourth Proportional to 41,384, 57,109.92 and 22,521.26

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Solution

The fourth proportional to 41,384, 57,109.92 and 22,521.26 is: 31,079.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,384 : 57,109.92 = 22,521.26 : x
  2. Step 2: Convert to fraction form
    41,384/57,109.92 = 22,521.26/x
  3. Step 3: Cross multiply
    41,384x = 57,109.92 × 22,521.26
  4. Step 4: Simplify right side
    41,384x = 1,286,187,356.90
  5. Step 5: Solve for x
    x = 1,286,187,356.90/41,384
  6. Step 6: Final answer
    x = 31,079.34

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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.