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Finding the Fourth Proportional to 31,141.12, 42,975 and 16,994.20

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Solution

The fourth proportional to 31,141.12, 42,975 and 16,994.20 is: 23,452.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,141.12 : 42,975 = 16,994.20 : x
  2. Step 2: Convert to fraction form
    31,141.12/42,975 = 16,994.20/x
  3. Step 3: Cross multiply
    31,141.12x = 42,975 × 16,994.20
  4. Step 4: Simplify right side
    31,141.12x = 730,325,745
  5. Step 5: Solve for x
    x = 730,325,745/31,141.12
  6. Step 6: Final answer
    x = 23,452.13

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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.