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Finding the Fourth Proportional to 31,382.59, 47,073.85 and 8,009.03

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Solution

The fourth proportional to 31,382.59, 47,073.85 and 8,009.03 is: 12,013.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,382.59 : 47,073.85 = 8,009.03 : x
  2. Step 2: Convert to fraction form
    31,382.59/47,073.85 = 8,009.03/x
  3. Step 3: Cross multiply
    31,382.59x = 47,073.85 × 8,009.03
  4. Step 4: Simplify right side
    31,382.59x = 377,015,876.87
  5. Step 5: Solve for x
    x = 377,015,876.87/31,382.59
  6. Step 6: Final answer
    x = 12,013.54

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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.