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Finding the Fourth Proportional to 31,015.41, 42,801.31 and 16,868.25

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Solution

The fourth proportional to 31,015.41, 42,801.31 and 16,868.25 is: 23,278.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,015.41 : 42,801.31 = 16,868.25 : x
  2. Step 2: Convert to fraction form
    31,015.41/42,801.31 = 16,868.25/x
  3. Step 3: Cross multiply
    31,015.41x = 42,801.31 × 16,868.25
  4. Step 4: Simplify right side
    31,015.41x = 721,983,218.49
  5. Step 5: Solve for x
    x = 721,983,218.49/31,015.41
  6. Step 6: Final answer
    x = 23,278.21

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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.