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Finding the Fourth Proportional to 50,576, 69,794.88 and 28,220.16

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Solution

The fourth proportional to 50,576, 69,794.88 and 28,220.16 is: 38,943.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,576 : 69,794.88 = 28,220.16 : x
  2. Step 2: Convert to fraction form
    50,576/69,794.88 = 28,220.16/x
  3. Step 3: Cross multiply
    50,576x = 69,794.88 × 28,220.16
  4. Step 4: Simplify right side
    50,576x = 1,969,622,680.78
  5. Step 5: Solve for x
    x = 1,969,622,680.78/50,576
  6. Step 6: Final answer
    x = 38,943.82

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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.