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Finding the Fourth Proportional to 33,638.70, 50,460.45 and 10,265.10

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Solution

The fourth proportional to 33,638.70, 50,460.45 and 10,265.10 is: 15,398.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,638.70 : 50,460.45 = 10,265.10 : x
  2. Step 2: Convert to fraction form
    33,638.70/50,460.45 = 10,265.10/x
  3. Step 3: Cross multiply
    33,638.70x = 50,460.45 × 10,265.10
  4. Step 4: Simplify right side
    33,638.70x = 517,981,565.30
  5. Step 5: Solve for x
    x = 517,981,565.30/33,638.70
  6. Step 6: Final answer
    x = 15,398.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.