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Finding the Fourth Proportional to 41,300.88, 56,995.21 and 22,438

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Solution

The fourth proportional to 41,300.88, 56,995.21 and 22,438 is: 30,964.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,300.88 : 56,995.21 = 22,438 : x
  2. Step 2: Convert to fraction form
    41,300.88/56,995.21 = 22,438/x
  3. Step 3: Cross multiply
    41,300.88x = 56,995.21 × 22,438
  4. Step 4: Simplify right side
    41,300.88x = 1,278,858,521.98
  5. Step 5: Solve for x
    x = 1,278,858,521.98/41,300.88
  6. Step 6: Final answer
    x = 30,964.44

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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.