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Finding the Fourth Proportional to 31,046.51, 42,842.99 and 17,616.96

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Solution

The fourth proportional to 31,046.51, 42,842.99 and 17,616.96 is: 24,310.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,046.51 : 42,842.99 = 17,616.96 : x
  2. Step 2: Convert to fraction form
    31,046.51/42,842.99 = 17,616.96/x
  3. Step 3: Cross multiply
    31,046.51x = 42,842.99 × 17,616.96
  4. Step 4: Simplify right side
    31,046.51x = 754,763,241.11
  5. Step 5: Solve for x
    x = 754,763,241.11/31,046.51
  6. Step 6: Final answer
    x = 24,310.73

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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.