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Finding the Fourth Proportional to 49,644, 68,509.20 and 27,288.48

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Solution

The fourth proportional to 49,644, 68,509.20 and 27,288.48 is: 37,658.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,644 : 68,509.20 = 27,288.48 : x
  2. Step 2: Convert to fraction form
    49,644/68,509.20 = 27,288.48/x
  3. Step 3: Cross multiply
    49,644x = 68,509.20 × 27,288.48
  4. Step 4: Simplify right side
    49,644x = 1,869,511,934.02
  5. Step 5: Solve for x
    x = 1,869,511,934.02/49,644
  6. Step 6: Final answer
    x = 37,658.37

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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.