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Finding the Fourth Proportional to 31,553.04, 47,329.50 and 8,179.50

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Solution

The fourth proportional to 31,553.04, 47,329.50 and 8,179.50 is: 12,269.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,553.04 : 47,329.50 = 8,179.50 : x
  2. Step 2: Convert to fraction form
    31,553.04/47,329.50 = 8,179.50/x
  3. Step 3: Cross multiply
    31,553.04x = 47,329.50 × 8,179.50
  4. Step 4: Simplify right side
    31,553.04x = 387,131,645.25
  5. Step 5: Solve for x
    x = 387,131,645.25/31,553.04
  6. Step 6: Final answer
    x = 12,269.23

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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.