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Finding the Fourth Proportional to 33,597, 50,272.47 and 31,794.57

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Solution

The fourth proportional to 33,597, 50,272.47 and 31,794.57 is: 47,575.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,597 : 50,272.47 = 31,794.57 : x
  2. Step 2: Convert to fraction form
    33,597/50,272.47 = 31,794.57/x
  3. Step 3: Cross multiply
    33,597x = 50,272.47 × 31,794.57
  4. Step 4: Simplify right side
    33,597x = 1,598,391,566.49
  5. Step 5: Solve for x
    x = 1,598,391,566.49/33,597
  6. Step 6: Final answer
    x = 47,575.43

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1.5x scale

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.