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Finding the Fourth Proportional to 31,406.58, 47,111.49 and 8,033.22

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Solution

The fourth proportional to 31,406.58, 47,111.49 and 8,033.22 is: 12,050.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,406.58 : 47,111.49 = 8,033.22 : x
  2. Step 2: Convert to fraction form
    31,406.58/47,111.49 = 8,033.22/x
  3. Step 3: Cross multiply
    31,406.58x = 47,111.49 × 8,033.22
  4. Step 4: Simplify right side
    31,406.58x = 378,456,963.70
  5. Step 5: Solve for x
    x = 378,456,963.70/31,406.58
  6. Step 6: Final answer
    x = 12,050.24

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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.