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Finding the Fourth Proportional to 50,506.24, 69,698.24 and 27,844.48

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Solution

The fourth proportional to 50,506.24, 69,698.24 and 27,844.48 is: 38,425.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,506.24 : 69,698.24 = 27,844.48 : x
  2. Step 2: Convert to fraction form
    50,506.24/69,698.24 = 27,844.48/x
  3. Step 3: Cross multiply
    50,506.24x = 69,698.24 × 27,844.48
  4. Step 4: Simplify right side
    50,506.24x = 1,940,711,249.72
  5. Step 5: Solve for x
    x = 1,940,711,249.72/50,506.24
  6. Step 6: Final answer
    x = 38,425.18

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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.