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Finding the Fourth Proportional to 31,765.17, 43,834.82 and 17,619.33

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Solution

The fourth proportional to 31,765.17, 43,834.82 and 17,619.33 is: 24,314.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,765.17 : 43,834.82 = 17,619.33 : x
  2. Step 2: Convert to fraction form
    31,765.17/43,834.82 = 17,619.33/x
  3. Step 3: Cross multiply
    31,765.17x = 43,834.82 × 17,619.33
  4. Step 4: Simplify right side
    31,765.17x = 772,340,159.07
  5. Step 5: Solve for x
    x = 772,340,159.07/31,765.17
  6. Step 6: Final answer
    x = 24,314.06

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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.