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Finding the Fourth Proportional to 31,005.76, 46,515.92 and 10,229.26

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Solution

The fourth proportional to 31,005.76, 46,515.92 and 10,229.26 is: 15,346.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,005.76 : 46,515.92 = 10,229.26 : x
  2. Step 2: Convert to fraction form
    31,005.76/46,515.92 = 10,229.26/x
  3. Step 3: Cross multiply
    31,005.76x = 46,515.92 × 10,229.26
  4. Step 4: Simplify right side
    31,005.76x = 475,823,439.82
  5. Step 5: Solve for x
    x = 475,823,439.82/31,005.76
  6. Step 6: Final answer
    x = 15,346.29

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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.