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Finding the Fourth Proportional to 41,295.10, 56,984.42 and 22,431.82

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Solution

The fourth proportional to 41,295.10, 56,984.42 and 22,431.82 is: 30,954.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,295.10 : 56,984.42 = 22,431.82 : x
  2. Step 2: Convert to fraction form
    41,295.10/56,984.42 = 22,431.82/x
  3. Step 3: Cross multiply
    41,295.10x = 56,984.42 × 22,431.82
  4. Step 4: Simplify right side
    41,295.10x = 1,278,264,252.24
  5. Step 5: Solve for x
    x = 1,278,264,252.24/41,295.10
  6. Step 6: Final answer
    x = 30,954.38

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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.