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Finding the Fourth Proportional to 31,706.78, 43,754.81 and 17,559.32

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Solution

The fourth proportional to 31,706.78, 43,754.81 and 17,559.32 is: 24,231.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,706.78 : 43,754.81 = 17,559.32 : x
  2. Step 2: Convert to fraction form
    31,706.78/43,754.81 = 17,559.32/x
  3. Step 3: Cross multiply
    31,706.78x = 43,754.81 × 17,559.32
  4. Step 4: Simplify right side
    31,706.78x = 768,304,403.76
  5. Step 5: Solve for x
    x = 768,304,403.76/31,706.78
  6. Step 6: Final answer
    x = 24,231.55

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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.