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Finding the Fourth Proportional to 41,310, 57,007.38 and 22,447.20

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Solution

The fourth proportional to 41,310, 57,007.38 and 22,447.20 is: 30,976.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,310 : 57,007.38 = 22,447.20 : x
  2. Step 2: Convert to fraction form
    41,310/57,007.38 = 22,447.20/x
  3. Step 3: Cross multiply
    41,310x = 57,007.38 × 22,447.20
  4. Step 4: Simplify right side
    41,310x = 1,279,656,060.34
  5. Step 5: Solve for x
    x = 1,279,656,060.34/41,310
  6. Step 6: Final answer
    x = 30,976.91

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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.