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Finding the Fourth Proportional to 31,130.15, 42,960 and 16,982.97

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Solution

The fourth proportional to 31,130.15, 42,960 and 16,982.97 is: 23,436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,130.15 : 42,960 = 16,982.97 : x
  2. Step 2: Convert to fraction form
    31,130.15/42,960 = 16,982.97/x
  3. Step 3: Cross multiply
    31,130.15x = 42,960 × 16,982.97
  4. Step 4: Simplify right side
    31,130.15x = 729,588,391.20
  5. Step 5: Solve for x
    x = 729,588,391.20/31,130.15
  6. Step 6: Final answer
    x = 23,436.72

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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.