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Finding the Fourth Proportional to 31,232.70, 46,846.17 and 10,456.38

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Solution

The fourth proportional to 31,232.70, 46,846.17 and 10,456.38 is: 15,683.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,232.70 : 46,846.17 = 10,456.38 : x
  2. Step 2: Convert to fraction form
    31,232.70/46,846.17 = 10,456.38/x
  3. Step 3: Cross multiply
    31,232.70x = 46,846.17 × 10,456.38
  4. Step 4: Simplify right side
    31,232.70x = 489,841,355.06
  5. Step 5: Solve for x
    x = 489,841,355.06/31,232.70
  6. Step 6: Final answer
    x = 15,683.61

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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.