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Finding the Fourth Proportional to 31,845.04, 47,767.50 and 8,471.48

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Solution

The fourth proportional to 31,845.04, 47,767.50 and 8,471.48 is: 12,707.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,845.04 : 47,767.50 = 8,471.48 : x
  2. Step 2: Convert to fraction form
    31,845.04/47,767.50 = 8,471.48/x
  3. Step 3: Cross multiply
    31,845.04x = 47,767.50 × 8,471.48
  4. Step 4: Simplify right side
    31,845.04x = 404,661,322.66
  5. Step 5: Solve for x
    x = 404,661,322.66/31,845.04
  6. Step 6: Final answer
    x = 12,707.20

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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.