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Finding the Fourth Proportional to 31,294.05, 46,936.17 and 10,233.92

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Solution

The fourth proportional to 31,294.05, 46,936.17 and 10,233.92 is: 15,349.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,294.05 : 46,936.17 = 10,233.92 : x
  2. Step 2: Convert to fraction form
    31,294.05/46,936.17 = 10,233.92/x
  3. Step 3: Cross multiply
    31,294.05x = 46,936.17 × 10,233.92
  4. Step 4: Simplify right side
    31,294.05x = 480,340,774.21
  5. Step 5: Solve for x
    x = 480,340,774.21/31,294.05
  6. Step 6: Final answer
    x = 15,349.27

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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.