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Finding the Fourth Proportional to 31,009.50, 42,791.81 and 17,581.66

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Solution

The fourth proportional to 31,009.50, 42,791.81 and 17,581.66 is: 24,261.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,009.50 : 42,791.81 = 17,581.66 : x
  2. Step 2: Convert to fraction form
    31,009.50/42,791.81 = 17,581.66/x
  3. Step 3: Cross multiply
    31,009.50x = 42,791.81 × 17,581.66
  4. Step 4: Simplify right side
    31,009.50x = 752,351,151.65
  5. Step 5: Solve for x
    x = 752,351,151.65/31,009.50
  6. Step 6: Final answer
    x = 24,261.95

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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.