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Finding the Fourth Proportional to 89,916.32, 134,891.82 and 34,508

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Solution

The fourth proportional to 89,916.32, 134,891.82 and 34,508 is: 51,768.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,916.32 : 134,891.82 = 34,508 : x
  2. Step 2: Convert to fraction form
    89,916.32/134,891.82 = 34,508/x
  3. Step 3: Cross multiply
    89,916.32x = 134,891.82 × 34,508
  4. Step 4: Simplify right side
    89,916.32x = 4,654,846,924.56
  5. Step 5: Solve for x
    x = 4,654,846,924.56/89,916.32
  6. Step 6: Final answer
    x = 51,768.65

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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.