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Finding the Fourth Proportional to 36,297, 50,098.56 and 22,161.84

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Solution

The fourth proportional to 36,297, 50,098.56 and 22,161.84 is: 30,588.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,297 : 50,098.56 = 22,161.84 : x
  2. Step 2: Convert to fraction form
    36,297/50,098.56 = 22,161.84/x
  3. Step 3: Cross multiply
    36,297x = 50,098.56 × 22,161.84
  4. Step 4: Simplify right side
    36,297x = 1,110,276,270.95
  5. Step 5: Solve for x
    x = 1,110,276,270.95/36,297
  6. Step 6: Final answer
    x = 30,588.65

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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.