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Finding the Fourth Proportional to 39,494.70, 54,466.56 and 30,882

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Solution

The fourth proportional to 39,494.70, 54,466.56 and 30,882 is: 42,588.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,494.70 : 54,466.56 = 30,882 : x
  2. Step 2: Convert to fraction form
    39,494.70/54,466.56 = 30,882/x
  3. Step 3: Cross multiply
    39,494.70x = 54,466.56 × 30,882
  4. Step 4: Simplify right side
    39,494.70x = 1,682,036,305.92
  5. Step 5: Solve for x
    x = 1,682,036,305.92/39,494.70
  6. Step 6: Final answer
    x = 42,588.91

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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.