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Finding the Fourth Proportional to 41,291.10, 56,978.91 and 22,427.82

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Solution

The fourth proportional to 41,291.10, 56,978.91 and 22,427.82 is: 30,948.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,291.10 : 56,978.91 = 22,427.82 : x
  2. Step 2: Convert to fraction form
    41,291.10/56,978.91 = 22,427.82/x
  3. Step 3: Cross multiply
    41,291.10x = 56,978.91 × 22,427.82
  4. Step 4: Simplify right side
    41,291.10x = 1,277,912,737.28
  5. Step 5: Solve for x
    x = 1,277,912,737.28/41,291.10
  6. Step 6: Final answer
    x = 30,948.87

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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.