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Finding the Fourth Proportional to 31,286.28, 46,929.58 and 7,912.74

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Solution

The fourth proportional to 31,286.28, 46,929.58 and 7,912.74 is: 11,869.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,286.28 : 46,929.58 = 7,912.74 : x
  2. Step 2: Convert to fraction form
    31,286.28/46,929.58 = 7,912.74/x
  3. Step 3: Cross multiply
    31,286.28x = 46,929.58 × 7,912.74
  4. Step 4: Simplify right side
    31,286.28x = 371,341,545.07
  5. Step 5: Solve for x
    x = 371,341,545.07/31,286.28
  6. Step 6: Final answer
    x = 11,869.15

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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.