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Finding the Fourth Proportional to 31,015.32, 42,801.48 and 16,868.16

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Solution

The fourth proportional to 31,015.32, 42,801.48 and 16,868.16 is: 23,278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,015.32 : 42,801.48 = 16,868.16 : x
  2. Step 2: Convert to fraction form
    31,015.32/42,801.48 = 16,868.16/x
  3. Step 3: Cross multiply
    31,015.32x = 42,801.48 × 16,868.16
  4. Step 4: Simplify right side
    31,015.32x = 721,982,212.88
  5. Step 5: Solve for x
    x = 721,982,212.88/31,015.32
  6. Step 6: Final answer
    x = 23,278.24

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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.