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Finding the Fourth Proportional to 31,434.84, 43,379.64 and 17,287.56

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Solution

The fourth proportional to 31,434.84, 43,379.64 and 17,287.56 is: 23,856.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,434.84 : 43,379.64 = 17,287.56 : x
  2. Step 2: Convert to fraction form
    31,434.84/43,379.64 = 17,287.56/x
  3. Step 3: Cross multiply
    31,434.84x = 43,379.64 × 17,287.56
  4. Step 4: Simplify right side
    31,434.84x = 749,928,129.28
  5. Step 5: Solve for x
    x = 749,928,129.28/31,434.84
  6. Step 6: Final answer
    x = 23,856.59

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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.