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Finding the Fourth Proportional to 31,999.46, 48,004.65 and 12,007.24

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Solution

The fourth proportional to 31,999.46, 48,004.65 and 12,007.24 is: 18,012.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,999.46 : 48,004.65 = 12,007.24 : x
  2. Step 2: Convert to fraction form
    31,999.46/48,004.65 = 12,007.24/x
  3. Step 3: Cross multiply
    31,999.46x = 48,004.65 × 12,007.24
  4. Step 4: Simplify right side
    31,999.46x = 576,403,233.65
  5. Step 5: Solve for x
    x = 576,403,233.65/31,999.46
  6. Step 6: Final answer
    x = 18,012.91

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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.