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Finding the Fourth Proportional to 49,967.60, 68,956 and 27,306.48

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Solution

The fourth proportional to 49,967.60, 68,956 and 27,306.48 is: 37,683.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,967.60 : 68,956 = 27,306.48 : x
  2. Step 2: Convert to fraction form
    49,967.60/68,956 = 27,306.48/x
  3. Step 3: Cross multiply
    49,967.60x = 68,956 × 27,306.48
  4. Step 4: Simplify right side
    49,967.60x = 1,882,945,634.88
  5. Step 5: Solve for x
    x = 1,882,945,634.88/49,967.60
  6. Step 6: Final answer
    x = 37,683.33

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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.