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Finding the Fourth Proportional to 29,137.32, 43,701.66 and 10,665

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Solution

The fourth proportional to 29,137.32, 43,701.66 and 10,665 is: 15,995.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,137.32 : 43,701.66 = 10,665 : x
  2. Step 2: Convert to fraction form
    29,137.32/43,701.66 = 10,665/x
  3. Step 3: Cross multiply
    29,137.32x = 43,701.66 × 10,665
  4. Step 4: Simplify right side
    29,137.32x = 466,078,203.90
  5. Step 5: Solve for x
    x = 466,078,203.90/29,137.32
  6. Step 6: Final answer
    x = 15,995.92

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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.