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Finding the Fourth Proportional to 33,874.56, 50,526 and 31,923.72

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Solution

The fourth proportional to 33,874.56, 50,526 and 31,923.72 is: 47,616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,874.56 : 50,526 = 31,923.72 : x
  2. Step 2: Convert to fraction form
    33,874.56/50,526 = 31,923.72/x
  3. Step 3: Cross multiply
    33,874.56x = 50,526 × 31,923.72
  4. Step 4: Simplify right side
    33,874.56x = 1,612,977,876.72
  5. Step 5: Solve for x
    x = 1,612,977,876.72/33,874.56
  6. Step 6: Final answer
    x = 47,616.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.