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Finding the Fourth Proportional to 31,012.54, 42,797.19 and 16,865.38

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Solution

The fourth proportional to 31,012.54, 42,797.19 and 16,865.38 is: 23,274.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,012.54 : 42,797.19 = 16,865.38 : x
  2. Step 2: Convert to fraction form
    31,012.54/42,797.19 = 16,865.38/x
  3. Step 3: Cross multiply
    31,012.54x = 42,797.19 × 16,865.38
  4. Step 4: Simplify right side
    31,012.54x = 721,790,989.02
  5. Step 5: Solve for x
    x = 721,790,989.02/31,012.54
  6. Step 6: Final answer
    x = 23,274.17

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Why These Related Problems?

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