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Finding the Fourth Proportional to 50,095, 69,131.12 and 27,739

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Solution

The fourth proportional to 50,095, 69,131.12 and 27,739 is: 38,279.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,095 : 69,131.12 = 27,739 : x
  2. Step 2: Convert to fraction form
    50,095/69,131.12 = 27,739/x
  3. Step 3: Cross multiply
    50,095x = 69,131.12 × 27,739
  4. Step 4: Simplify right side
    50,095x = 1,917,628,137.68
  5. Step 5: Solve for x
    x = 1,917,628,137.68/50,095
  6. Step 6: Final answer
    x = 38,279.83

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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.