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Finding the Fourth Proportional to 31,408.27, 43,342.91 and 17,260.81

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Solution

The fourth proportional to 31,408.27, 43,342.91 and 17,260.81 is: 23,819.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,408.27 : 43,342.91 = 17,260.81 : x
  2. Step 2: Convert to fraction form
    31,408.27/43,342.91 = 17,260.81/x
  3. Step 3: Cross multiply
    31,408.27x = 43,342.91 × 17,260.81
  4. Step 4: Simplify right side
    31,408.27x = 748,133,431.34
  5. Step 5: Solve for x
    x = 748,133,431.34/31,408.27
  6. Step 6: Final answer
    x = 23,819.64

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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.