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Finding the Fourth Proportional to 50,176.48, 69,243.84 and 27,820.48

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Solution

The fourth proportional to 50,176.48, 69,243.84 and 27,820.48 is: 38,392.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,176.48 : 69,243.84 = 27,820.48 : x
  2. Step 2: Convert to fraction form
    50,176.48/69,243.84 = 27,820.48/x
  3. Step 3: Cross multiply
    50,176.48x = 69,243.84 × 27,820.48
  4. Step 4: Simplify right side
    50,176.48x = 1,926,396,865.84
  5. Step 5: Solve for x
    x = 1,926,396,865.84/50,176.48
  6. Step 6: Final answer
    x = 38,392.43

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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.