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Finding the Fourth Proportional to 31,225.82, 43,092.66 and 17,078.66

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Solution

The fourth proportional to 31,225.82, 43,092.66 and 17,078.66 is: 23,569.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,225.82 : 43,092.66 = 17,078.66 : x
  2. Step 2: Convert to fraction form
    31,225.82/43,092.66 = 17,078.66/x
  3. Step 3: Cross multiply
    31,225.82x = 43,092.66 × 17,078.66
  4. Step 4: Simplify right side
    31,225.82x = 735,964,863.35
  5. Step 5: Solve for x
    x = 735,964,863.35/31,225.82
  6. Step 6: Final answer
    x = 23,569.12

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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.