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Finding the Fourth Proportional to 29,294.40, 43,931.57 and 9,568.06

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Solution

The fourth proportional to 29,294.40, 43,931.57 and 9,568.06 is: 14,348.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,294.40 : 43,931.57 = 9,568.06 : x
  2. Step 2: Convert to fraction form
    29,294.40/43,931.57 = 9,568.06/x
  3. Step 3: Cross multiply
    29,294.40x = 43,931.57 × 9,568.06
  4. Step 4: Simplify right side
    29,294.40x = 420,339,897.65
  5. Step 5: Solve for x
    x = 420,339,897.65/29,294.40
  6. Step 6: Final answer
    x = 14,348.81

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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.