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Finding the Fourth Proportional to 36,874.24, 50,886 and 20,106.88

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Solution

The fourth proportional to 36,874.24, 50,886 and 20,106.88 is: 27,747.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,874.24 : 50,886 = 20,106.88 : x
  2. Step 2: Convert to fraction form
    36,874.24/50,886 = 20,106.88/x
  3. Step 3: Cross multiply
    36,874.24x = 50,886 × 20,106.88
  4. Step 4: Simplify right side
    36,874.24x = 1,023,158,695.68
  5. Step 5: Solve for x
    x = 1,023,158,695.68/36,874.24
  6. Step 6: Final answer
    x = 27,747.25

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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.