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Finding the Fourth Proportional to 29,977.20, 44,966.16 and 8,916.75

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Solution

The fourth proportional to 29,977.20, 44,966.16 and 8,916.75 is: 13,375.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,977.20 : 44,966.16 = 8,916.75 : x
  2. Step 2: Convert to fraction form
    29,977.20/44,966.16 = 8,916.75/x
  3. Step 3: Cross multiply
    29,977.20x = 44,966.16 × 8,916.75
  4. Step 4: Simplify right side
    29,977.20x = 400,952,007.18
  5. Step 5: Solve for x
    x = 400,952,007.18/29,977.20
  6. Step 6: Final answer
    x = 13,375.23

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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.