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Finding the Fourth Proportional to 36,769.22, 54,738 and 36,550.52

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Solution

The fourth proportional to 36,769.22, 54,738 and 36,550.52 is: 54,412.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,769.22 : 54,738 = 36,550.52 : x
  2. Step 2: Convert to fraction form
    36,769.22/54,738 = 36,550.52/x
  3. Step 3: Cross multiply
    36,769.22x = 54,738 × 36,550.52
  4. Step 4: Simplify right side
    36,769.22x = 2,000,702,363.76
  5. Step 5: Solve for x
    x = 2,000,702,363.76/36,769.22
  6. Step 6: Final answer
    x = 54,412.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.