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Finding the Fourth Proportional to 31,818.92, 47,728.38 and 8,444.75

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Solution

The fourth proportional to 31,818.92, 47,728.38 and 8,444.75 is: 12,667.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,818.92 : 47,728.38 = 8,444.75 : x
  2. Step 2: Convert to fraction form
    31,818.92/47,728.38 = 8,444.75/x
  3. Step 3: Cross multiply
    31,818.92x = 47,728.38 × 8,444.75
  4. Step 4: Simplify right side
    31,818.92x = 403,054,237.01
  5. Step 5: Solve for x
    x = 403,054,237.01/31,818.92
  6. Step 6: Final answer
    x = 12,667.13

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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.