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Finding the Fourth Proportional to 32,952.26, 49,435.68 and 9,576.74

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Solution

The fourth proportional to 32,952.26, 49,435.68 and 9,576.74 is: 14,367.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,952.26 : 49,435.68 = 9,576.74 : x
  2. Step 2: Convert to fraction form
    32,952.26/49,435.68 = 9,576.74/x
  3. Step 3: Cross multiply
    32,952.26x = 49,435.68 × 9,576.74
  4. Step 4: Simplify right side
    32,952.26x = 473,432,654.08
  5. Step 5: Solve for x
    x = 473,432,654.08/32,952.26
  6. Step 6: Final answer
    x = 14,367.23

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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.