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Finding the Fourth Proportional to 51,610.40, 71,227.92 and 29,252

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Solution

The fourth proportional to 51,610.40, 71,227.92 and 29,252 is: 40,370.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,610.40 : 71,227.92 = 29,252 : x
  2. Step 2: Convert to fraction form
    51,610.40/71,227.92 = 29,252/x
  3. Step 3: Cross multiply
    51,610.40x = 71,227.92 × 29,252
  4. Step 4: Simplify right side
    51,610.40x = 2,083,559,115.84
  5. Step 5: Solve for x
    x = 2,083,559,115.84/51,610.40
  6. Step 6: Final answer
    x = 40,370.92

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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.