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Finding the Fourth Proportional to 36,299, 49,937.10 and 34,743.80

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Solution

The fourth proportional to 36,299, 49,937.10 and 34,743.80 is: 47,797.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,299 : 49,937.10 = 34,743.80 : x
  2. Step 2: Convert to fraction form
    36,299/49,937.10 = 34,743.80/x
  3. Step 3: Cross multiply
    36,299x = 49,937.10 × 34,743.80
  4. Step 4: Simplify right side
    36,299x = 1,735,004,614.98
  5. Step 5: Solve for x
    x = 1,735,004,614.98/36,299
  6. Step 6: Final answer
    x = 47,797.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.