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Finding the Fourth Proportional to 47,257.20, 70,918.20 and 26,197.20

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Solution

The fourth proportional to 47,257.20, 70,918.20 and 26,197.20 is: 39,313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,257.20 : 70,918.20 = 26,197.20 : x
  2. Step 2: Convert to fraction form
    47,257.20/70,918.20 = 26,197.20/x
  3. Step 3: Cross multiply
    47,257.20x = 70,918.20 × 26,197.20
  4. Step 4: Simplify right side
    47,257.20x = 1,857,858,269.04
  5. Step 5: Solve for x
    x = 1,857,858,269.04/47,257.20
  6. Step 6: Final answer
    x = 39,313.76

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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.