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Finding the Fourth Proportional to 29,331.68, 43,996.88 and 7,145.16

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Solution

The fourth proportional to 29,331.68, 43,996.88 and 7,145.16 is: 10,717.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,331.68 : 43,996.88 = 7,145.16 : x
  2. Step 2: Convert to fraction form
    29,331.68/43,996.88 = 7,145.16/x
  3. Step 3: Cross multiply
    29,331.68x = 43,996.88 × 7,145.16
  4. Step 4: Simplify right side
    29,331.68x = 314,364,747.10
  5. Step 5: Solve for x
    x = 314,364,747.10/29,331.68
  6. Step 6: Final answer
    x = 10,717.58

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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.