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Finding the Fourth Proportional to 38,524.52, 57,786.80 and 13,900.52

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Solution

The fourth proportional to 38,524.52, 57,786.80 and 13,900.52 is: 20,850.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,524.52 : 57,786.80 = 13,900.52 : x
  2. Step 2: Convert to fraction form
    38,524.52/57,786.80 = 13,900.52/x
  3. Step 3: Cross multiply
    38,524.52x = 57,786.80 × 13,900.52
  4. Step 4: Simplify right side
    38,524.52x = 803,266,569.14
  5. Step 5: Solve for x
    x = 803,266,569.14/38,524.52
  6. Step 6: Final answer
    x = 20,850.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.