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Finding the Fourth Proportional to 31,813.38, 43,900.48 and 18,382.47

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Solution

The fourth proportional to 31,813.38, 43,900.48 and 18,382.47 is: 25,366.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,813.38 : 43,900.48 = 18,382.47 : x
  2. Step 2: Convert to fraction form
    31,813.38/43,900.48 = 18,382.47/x
  3. Step 3: Cross multiply
    31,813.38x = 43,900.48 × 18,382.47
  4. Step 4: Simplify right side
    31,813.38x = 806,999,256.59
  5. Step 5: Solve for x
    x = 806,999,256.59/31,813.38
  6. Step 6: Final answer
    x = 25,366.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.