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Finding the Fourth Proportional to 29,944.50, 44,916.57 and 7,757.82

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Solution

The fourth proportional to 29,944.50, 44,916.57 and 7,757.82 is: 11,636.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,944.50 : 44,916.57 = 7,757.82 : x
  2. Step 2: Convert to fraction form
    29,944.50/44,916.57 = 7,757.82/x
  3. Step 3: Cross multiply
    29,944.50x = 44,916.57 × 7,757.82
  4. Step 4: Simplify right side
    29,944.50x = 348,454,665.08
  5. Step 5: Solve for x
    x = 348,454,665.08/29,944.50
  6. Step 6: Final answer
    x = 11,636.68

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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.