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Finding the Fourth Proportional to 36,077.94, 49,785.84 and 20,162.25

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Solution

The fourth proportional to 36,077.94, 49,785.84 and 20,162.25 is: 27,822.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,077.94 : 49,785.84 = 20,162.25 : x
  2. Step 2: Convert to fraction form
    36,077.94/49,785.84 = 20,162.25/x
  3. Step 3: Cross multiply
    36,077.94x = 49,785.84 × 20,162.25
  4. Step 4: Simplify right side
    36,077.94x = 1,003,794,552.54
  5. Step 5: Solve for x
    x = 1,003,794,552.54/36,077.94
  6. Step 6: Final answer
    x = 27,822.95

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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.