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Finding the Fourth Proportional to 41,743.84, 57,607.50 and 22,882

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Solution

The fourth proportional to 41,743.84, 57,607.50 and 22,882 is: 31,577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,743.84 : 57,607.50 = 22,882 : x
  2. Step 2: Convert to fraction form
    41,743.84/57,607.50 = 22,882/x
  3. Step 3: Cross multiply
    41,743.84x = 57,607.50 × 22,882
  4. Step 4: Simplify right side
    41,743.84x = 1,318,174,815
  5. Step 5: Solve for x
    x = 1,318,174,815/41,743.84
  6. Step 6: Final answer
    x = 31,577.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.