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Finding the Fourth Proportional to 31,693.80, 43,737.66 and 17,546.34

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Solution

The fourth proportional to 31,693.80, 43,737.66 and 17,546.34 is: 24,214.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,693.80 : 43,737.66 = 17,546.34 : x
  2. Step 2: Convert to fraction form
    31,693.80/43,737.66 = 17,546.34/x
  3. Step 3: Cross multiply
    31,693.80x = 43,737.66 × 17,546.34
  4. Step 4: Simplify right side
    31,693.80x = 767,435,853.16
  5. Step 5: Solve for x
    x = 767,435,853.16/31,693.80
  6. Step 6: Final answer
    x = 24,214.07

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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.