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Finding the Fourth Proportional to 41,281.71, 56,969.07 and 22,418.82

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Solution

The fourth proportional to 41,281.71, 56,969.07 and 22,418.82 is: 30,938.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,281.71 : 56,969.07 = 22,418.82 : x
  2. Step 2: Convert to fraction form
    41,281.71/56,969.07 = 22,418.82/x
  3. Step 3: Cross multiply
    41,281.71x = 56,969.07 × 22,418.82
  4. Step 4: Simplify right side
    41,281.71x = 1,277,179,325.90
  5. Step 5: Solve for x
    x = 1,277,179,325.90/41,281.71
  6. Step 6: Final answer
    x = 30,938.14

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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.