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Finding the Fourth Proportional to 31,049.21, 46,545.72 and 11,323.14

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Solution

The fourth proportional to 31,049.21, 46,545.72 and 11,323.14 is: 16,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,049.21 : 46,545.72 = 11,323.14 : x
  2. Step 2: Convert to fraction form
    31,049.21/46,545.72 = 11,323.14/x
  3. Step 3: Cross multiply
    31,049.21x = 46,545.72 × 11,323.14
  4. Step 4: Simplify right side
    31,049.21x = 527,043,703.96
  5. Step 5: Solve for x
    x = 527,043,703.96/31,049.21
  6. Step 6: Final answer
    x = 16,974.47

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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.