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Finding the Fourth Proportional to 50,199.48, 69,276.78 and 27,843

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Solution

The fourth proportional to 50,199.48, 69,276.78 and 27,843 is: 38,424.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,199.48 : 69,276.78 = 27,843 : x
  2. Step 2: Convert to fraction form
    50,199.48/69,276.78 = 27,843/x
  3. Step 3: Cross multiply
    50,199.48x = 69,276.78 × 27,843
  4. Step 4: Simplify right side
    50,199.48x = 1,928,873,385.54
  5. Step 5: Solve for x
    x = 1,928,873,385.54/50,199.48
  6. Step 6: Final answer
    x = 38,424.17

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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.