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Finding the Fourth Proportional to 33,697.70, 50,446.71 and 24,971.78

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Solution

The fourth proportional to 33,697.70, 50,446.71 and 24,971.78 is: 37,383.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,697.70 : 50,446.71 = 24,971.78 : x
  2. Step 2: Convert to fraction form
    33,697.70/50,446.71 = 24,971.78/x
  3. Step 3: Cross multiply
    33,697.70x = 50,446.71 × 24,971.78
  4. Step 4: Simplify right side
    33,697.70x = 1,259,744,143.84
  5. Step 5: Solve for x
    x = 1,259,744,143.84/33,697.70
  6. Step 6: Final answer
    x = 37,383.68

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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.