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Finding the Fourth Proportional to 36,338, 50,150.59 and 20,206.92

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Solution

The fourth proportional to 36,338, 50,150.59 and 20,206.92 is: 27,887.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,338 : 50,150.59 = 20,206.92 : x
  2. Step 2: Convert to fraction form
    36,338/50,150.59 = 20,206.92/x
  3. Step 3: Cross multiply
    36,338x = 50,150.59 × 20,206.92
  4. Step 4: Simplify right side
    36,338x = 1,013,388,960.08
  5. Step 5: Solve for x
    x = 1,013,388,960.08/36,338
  6. Step 6: Final answer
    x = 27,887.86

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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.