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Finding the Fourth Proportional to 32,950.17, 49,432.52 and 9,578.43

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Solution

The fourth proportional to 32,950.17, 49,432.52 and 9,578.43 is: 14,369.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,950.17 : 49,432.52 = 9,578.43 : x
  2. Step 2: Convert to fraction form
    32,950.17/49,432.52 = 9,578.43/x
  3. Step 3: Cross multiply
    32,950.17x = 49,432.52 × 9,578.43
  4. Step 4: Simplify right side
    32,950.17x = 473,485,884.65
  5. Step 5: Solve for x
    x = 473,485,884.65/32,950.17
  6. Step 6: Final answer
    x = 14,369.76

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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.