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Finding the Fourth Proportional to 41,109.57, 56,731.10 and 22,246.70

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Solution

The fourth proportional to 41,109.57, 56,731.10 and 22,246.70 is: 30,700.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,109.57 : 56,731.10 = 22,246.70 : x
  2. Step 2: Convert to fraction form
    41,109.57/56,731.10 = 22,246.70/x
  3. Step 3: Cross multiply
    41,109.57x = 56,731.10 × 22,246.70
  4. Step 4: Simplify right side
    41,109.57x = 1,262,079,367.48
  5. Step 5: Solve for x
    x = 1,262,079,367.48/41,109.57
  6. Step 6: Final answer
    x = 30,700.38

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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.