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Finding the Fourth Proportional to 47,306.70, 70,969.78 and 19,226.68

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Solution

The fourth proportional to 47,306.70, 70,969.78 and 19,226.68 is: 28,843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,306.70 : 70,969.78 = 19,226.68 : x
  2. Step 2: Convert to fraction form
    47,306.70/70,969.78 = 19,226.68/x
  3. Step 3: Cross multiply
    47,306.70x = 70,969.78 × 19,226.68
  4. Step 4: Simplify right side
    47,306.70x = 1,364,513,249.73
  5. Step 5: Solve for x
    x = 1,364,513,249.73/47,306.70
  6. Step 6: Final answer
    x = 28,843.97

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Why These Related Problems?

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