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Finding the Fourth Proportional to 36,260, 50,038.82 and 22,115.78

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Solution

The fourth proportional to 36,260, 50,038.82 and 22,115.78 is: 30,519.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,260 : 50,038.82 = 22,115.78 : x
  2. Step 2: Convert to fraction form
    36,260/50,038.82 = 22,115.78/x
  3. Step 3: Cross multiply
    36,260x = 50,038.82 × 22,115.78
  4. Step 4: Simplify right side
    36,260x = 1,106,647,424.00
  5. Step 5: Solve for x
    x = 1,106,647,424.00/36,260
  6. Step 6: Final answer
    x = 30,519.79

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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.