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Finding the Fourth Proportional to 31,016.28, 42,801.54 and 16,868.76

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Solution

The fourth proportional to 31,016.28, 42,801.54 and 16,868.76 is: 23,278.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,016.28 : 42,801.54 = 16,868.76 : x
  2. Step 2: Convert to fraction form
    31,016.28/42,801.54 = 16,868.76/x
  3. Step 3: Cross multiply
    31,016.28x = 42,801.54 × 16,868.76
  4. Step 4: Simplify right side
    31,016.28x = 722,008,905.89
  5. Step 5: Solve for x
    x = 722,008,905.89/31,016.28
  6. Step 6: Final answer
    x = 23,278.38

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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.