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Finding the Fourth Proportional to 31,406.92, 47,110.14 and 8,033.32

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Solution

The fourth proportional to 31,406.92, 47,110.14 and 8,033.32 is: 12,049.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,406.92 : 47,110.14 = 8,033.32 : x
  2. Step 2: Convert to fraction form
    31,406.92/47,110.14 = 8,033.32/x
  3. Step 3: Cross multiply
    31,406.92x = 47,110.14 × 8,033.32
  4. Step 4: Simplify right side
    31,406.92x = 378,450,829.86
  5. Step 5: Solve for x
    x = 378,450,829.86/31,406.92
  6. Step 6: Final answer
    x = 12,049.92

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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.