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Finding the Fourth Proportional to 31,689.40, 43,684.78 and 24,122.54

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Solution

The fourth proportional to 31,689.40, 43,684.78 and 24,122.54 is: 33,253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,689.40 : 43,684.78 = 24,122.54 : x
  2. Step 2: Convert to fraction form
    31,689.40/43,684.78 = 24,122.54/x
  3. Step 3: Cross multiply
    31,689.40x = 43,684.78 × 24,122.54
  4. Step 4: Simplify right side
    31,689.40x = 1,053,787,852.94
  5. Step 5: Solve for x
    x = 1,053,787,852.94/31,689.40
  6. Step 6: Final answer
    x = 33,253.64

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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.