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Finding the Fourth Proportional to 35,704.38, 49,269.24 and 19,788.42

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Solution

The fourth proportional to 35,704.38, 49,269.24 and 19,788.42 is: 27,306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,704.38 : 49,269.24 = 19,788.42 : x
  2. Step 2: Convert to fraction form
    35,704.38/49,269.24 = 19,788.42/x
  3. Step 3: Cross multiply
    35,704.38x = 49,269.24 × 19,788.42
  4. Step 4: Simplify right side
    35,704.38x = 974,960,414.20
  5. Step 5: Solve for x
    x = 974,960,414.20/35,704.38
  6. Step 6: Final answer
    x = 27,306.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.