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Finding the Fourth Proportional to 71,233.29, 106,818.72 and 33,804

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Solution

The fourth proportional to 71,233.29, 106,818.72 and 33,804 is: 50,691.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,233.29 : 106,818.72 = 33,804 : x
  2. Step 2: Convert to fraction form
    71,233.29/106,818.72 = 33,804/x
  3. Step 3: Cross multiply
    71,233.29x = 106,818.72 × 33,804
  4. Step 4: Simplify right side
    71,233.29x = 3,610,900,010.88
  5. Step 5: Solve for x
    x = 3,610,900,010.88/71,233.29
  6. Step 6: Final answer
    x = 50,691.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.