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Finding the Fourth Proportional to 31,390.35, 47,085.52 and 8,016.78

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Solution

The fourth proportional to 31,390.35, 47,085.52 and 8,016.78 is: 12,025.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,390.35 : 47,085.52 = 8,016.78 : x
  2. Step 2: Convert to fraction form
    31,390.35/47,085.52 = 8,016.78/x
  3. Step 3: Cross multiply
    31,390.35x = 47,085.52 × 8,016.78
  4. Step 4: Simplify right side
    31,390.35x = 377,474,255.03
  5. Step 5: Solve for x
    x = 377,474,255.03/31,390.35
  6. Step 6: Final answer
    x = 12,025.17

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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.