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Finding the Fourth Proportional to 47,286.52, 70,946.72 and 20,257.52

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Solution

The fourth proportional to 47,286.52, 70,946.72 and 20,257.52 is: 30,393.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,286.52 : 70,946.72 = 20,257.52 : x
  2. Step 2: Convert to fraction form
    47,286.52/70,946.72 = 20,257.52/x
  3. Step 3: Cross multiply
    47,286.52x = 70,946.72 × 20,257.52
  4. Step 4: Simplify right side
    47,286.52x = 1,437,204,498.05
  5. Step 5: Solve for x
    x = 1,437,204,498.05/47,286.52
  6. Step 6: Final answer
    x = 30,393.53

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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.