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Finding the Fourth Proportional to 31,821.68, 43,915.02 and 17,675.84

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Solution

The fourth proportional to 31,821.68, 43,915.02 and 17,675.84 is: 24,393.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,821.68 : 43,915.02 = 17,675.84 : x
  2. Step 2: Convert to fraction form
    31,821.68/43,915.02 = 17,675.84/x
  3. Step 3: Cross multiply
    31,821.68x = 43,915.02 × 17,675.84
  4. Step 4: Simplify right side
    31,821.68x = 776,234,867.12
  5. Step 5: Solve for x
    x = 776,234,867.12/31,821.68
  6. Step 6: Final answer
    x = 24,393.27

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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.