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Finding the Fourth Proportional to 31,862.88, 43,940.64 and 24,295.92

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Solution

The fourth proportional to 31,862.88, 43,940.64 and 24,295.92 is: 33,505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,862.88 : 43,940.64 = 24,295.92 : x
  2. Step 2: Convert to fraction form
    31,862.88/43,940.64 = 24,295.92/x
  3. Step 3: Cross multiply
    31,862.88x = 43,940.64 × 24,295.92
  4. Step 4: Simplify right side
    31,862.88x = 1,067,578,274.19
  5. Step 5: Solve for x
    x = 1,067,578,274.19/31,862.88
  6. Step 6: Final answer
    x = 33,505.39

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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.