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Finding the Fourth Proportional to 31,378.69, 43,302.89 and 17,231.84

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Solution

The fourth proportional to 31,378.69, 43,302.89 and 17,231.84 is: 23,780.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,378.69 : 43,302.89 = 17,231.84 : x
  2. Step 2: Convert to fraction form
    31,378.69/43,302.89 = 17,231.84/x
  3. Step 3: Cross multiply
    31,378.69x = 43,302.89 × 17,231.84
  4. Step 4: Simplify right side
    31,378.69x = 746,188,298.58
  5. Step 5: Solve for x
    x = 746,188,298.58/31,378.69
  6. Step 6: Final answer
    x = 23,780.10

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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.