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Finding the Fourth Proportional to 31,858.68, 43,963.50 and 17,711.40

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Solution

The fourth proportional to 31,858.68, 43,963.50 and 17,711.40 is: 24,440.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,858.68 : 43,963.50 = 17,711.40 : x
  2. Step 2: Convert to fraction form
    31,858.68/43,963.50 = 17,711.40/x
  3. Step 3: Cross multiply
    31,858.68x = 43,963.50 × 17,711.40
  4. Step 4: Simplify right side
    31,858.68x = 778,655,133.90
  5. Step 5: Solve for x
    x = 778,655,133.90/31,858.68
  6. Step 6: Final answer
    x = 24,440.91

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