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Finding the Fourth Proportional to 31,311.96, 46,957.92 and 10,246.29

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Solution

The fourth proportional to 31,311.96, 46,957.92 and 10,246.29 is: 15,366.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,311.96 : 46,957.92 = 10,246.29 : x
  2. Step 2: Convert to fraction form
    31,311.96/46,957.92 = 10,246.29/x
  3. Step 3: Cross multiply
    31,311.96x = 46,957.92 × 10,246.29
  4. Step 4: Simplify right side
    31,311.96x = 481,144,466.12
  5. Step 5: Solve for x
    x = 481,144,466.12/31,311.96
  6. Step 6: Final answer
    x = 15,366.16

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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.