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Finding the Fourth Proportional to 31,780.57, 43,858.65 and 17,632.57

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Solution

The fourth proportional to 31,780.57, 43,858.65 and 17,632.57 is: 24,333.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,780.57 : 43,858.65 = 17,632.57 : x
  2. Step 2: Convert to fraction form
    31,780.57/43,858.65 = 17,632.57/x
  3. Step 3: Cross multiply
    31,780.57x = 43,858.65 × 17,632.57
  4. Step 4: Simplify right side
    31,780.57x = 773,340,716.23
  5. Step 5: Solve for x
    x = 773,340,716.23/31,780.57
  6. Step 6: Final answer
    x = 24,333.76

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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.