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Finding the Fourth Proportional to 32,950.67, 49,433.27 and 9,578.93

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Solution

The fourth proportional to 32,950.67, 49,433.27 and 9,578.93 is: 14,370.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,950.67 : 49,433.27 = 9,578.93 : x
  2. Step 2: Convert to fraction form
    32,950.67/49,433.27 = 9,578.93/x
  3. Step 3: Cross multiply
    32,950.67x = 49,433.27 × 9,578.93
  4. Step 4: Simplify right side
    32,950.67x = 473,517,785.11
  5. Step 5: Solve for x
    x = 473,517,785.11/32,950.67
  6. Step 6: Final answer
    x = 14,370.51

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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.