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Finding the Fourth Proportional to 31,148.80, 42,989.46 and 17,717.46

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Solution

The fourth proportional to 31,148.80, 42,989.46 and 17,717.46 is: 24,452.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,148.80 : 42,989.46 = 17,717.46 : x
  2. Step 2: Convert to fraction form
    31,148.80/42,989.46 = 17,717.46/x
  3. Step 3: Cross multiply
    31,148.80x = 42,989.46 × 17,717.46
  4. Step 4: Simplify right side
    31,148.80x = 761,664,037.97
  5. Step 5: Solve for x
    x = 761,664,037.97/31,148.80
  6. Step 6: Final answer
    x = 24,452.44

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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.