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Finding the Fourth Proportional to 31,851.92, 43,957.14 and 17,705

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Solution

The fourth proportional to 31,851.92, 43,957.14 and 17,705 is: 24,433.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,851.92 : 43,957.14 = 17,705 : x
  2. Step 2: Convert to fraction form
    31,851.92/43,957.14 = 17,705/x
  3. Step 3: Cross multiply
    31,851.92x = 43,957.14 × 17,705
  4. Step 4: Simplify right side
    31,851.92x = 778,261,163.70
  5. Step 5: Solve for x
    x = 778,261,163.70/31,851.92
  6. Step 6: Final answer
    x = 24,433.73

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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.