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Finding the Fourth Proportional to 41,352, 57,065.76 and 22,489.53

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Solution

The fourth proportional to 41,352, 57,065.76 and 22,489.53 is: 31,035.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,352 : 57,065.76 = 22,489.53 : x
  2. Step 2: Convert to fraction form
    41,352/57,065.76 = 22,489.53/x
  3. Step 3: Cross multiply
    41,352x = 57,065.76 × 22,489.53
  4. Step 4: Simplify right side
    41,352x = 1,283,382,121.49
  5. Step 5: Solve for x
    x = 1,283,382,121.49/41,352
  6. Step 6: Final answer
    x = 31,035.55

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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.