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Finding the Fourth Proportional to 32,952.89, 49,434.28 and 9,576.29

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Solution

The fourth proportional to 32,952.89, 49,434.28 and 9,576.29 is: 14,365.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,952.89 : 49,434.28 = 9,576.29 : x
  2. Step 2: Convert to fraction form
    32,952.89/49,434.28 = 9,576.29/x
  3. Step 3: Cross multiply
    32,952.89x = 49,434.28 × 9,576.29
  4. Step 4: Simplify right side
    32,952.89x = 473,397,001.22
  5. Step 5: Solve for x
    x = 473,397,001.22/32,952.89
  6. Step 6: Final answer
    x = 14,365.87

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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.