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Finding the Fourth Proportional to 36,302, 50,105.46 and 22,166.84

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Solution

The fourth proportional to 36,302, 50,105.46 and 22,166.84 is: 30,595.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,302 : 50,105.46 = 22,166.84 : x
  2. Step 2: Convert to fraction form
    36,302/50,105.46 = 22,166.84/x
  3. Step 3: Cross multiply
    36,302x = 50,105.46 × 22,166.84
  4. Step 4: Simplify right side
    36,302x = 1,110,679,714.95
  5. Step 5: Solve for x
    x = 1,110,679,714.95/36,302
  6. Step 6: Final answer
    x = 30,595.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.