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Finding the Fourth Proportional to 36,524.96, 50,404.56 and 19,758

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Solution

The fourth proportional to 36,524.96, 50,404.56 and 19,758 is: 27,266.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,524.96 : 50,404.56 = 19,758 : x
  2. Step 2: Convert to fraction form
    36,524.96/50,404.56 = 19,758/x
  3. Step 3: Cross multiply
    36,524.96x = 50,404.56 × 19,758
  4. Step 4: Simplify right side
    36,524.96x = 995,893,296.48
  5. Step 5: Solve for x
    x = 995,893,296.48/36,524.96
  6. Step 6: Final answer
    x = 27,266.10

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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.