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Finding the Fourth Proportional to 41,872.39, 57,784.11 and 22,752.21

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Solution

The fourth proportional to 41,872.39, 57,784.11 and 22,752.21 is: 31,398.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,872.39 : 57,784.11 = 22,752.21 : x
  2. Step 2: Convert to fraction form
    41,872.39/57,784.11 = 22,752.21/x
  3. Step 3: Cross multiply
    41,872.39x = 57,784.11 × 22,752.21
  4. Step 4: Simplify right side
    41,872.39x = 1,314,716,205.38
  5. Step 5: Solve for x
    x = 1,314,716,205.38/41,872.39
  6. Step 6: Final answer
    x = 31,398.17

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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.