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Finding the Fourth Proportional to 31,081.98, 42,893.11 and 16,934.93

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Solution

The fourth proportional to 31,081.98, 42,893.11 and 16,934.93 is: 23,370.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,081.98 : 42,893.11 = 16,934.93 : x
  2. Step 2: Convert to fraction form
    31,081.98/42,893.11 = 16,934.93/x
  3. Step 3: Cross multiply
    31,081.98x = 42,893.11 × 16,934.93
  4. Step 4: Simplify right side
    31,081.98x = 726,391,815.33
  5. Step 5: Solve for x
    x = 726,391,815.33/31,081.98
  6. Step 6: Final answer
    x = 23,370.19

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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.