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Finding the Fourth Proportional to 41,689, 57,531.02 and 23,783.82

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Solution

The fourth proportional to 41,689, 57,531.02 and 23,783.82 is: 32,821.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,689 : 57,531.02 = 23,783.82 : x
  2. Step 2: Convert to fraction form
    41,689/57,531.02 = 23,783.82/x
  3. Step 3: Cross multiply
    41,689x = 57,531.02 × 23,783.82
  4. Step 4: Simplify right side
    41,689x = 1,368,307,424.10
  5. Step 5: Solve for x
    x = 1,368,307,424.10/41,689
  6. Step 6: Final answer
    x = 32,821.79

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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.