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Finding the Fourth Proportional to 36,733, 50,691.72 and 19,966

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Solution

The fourth proportional to 36,733, 50,691.72 and 19,966 is: 27,553.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,733 : 50,691.72 = 19,966 : x
  2. Step 2: Convert to fraction form
    36,733/50,691.72 = 19,966/x
  3. Step 3: Cross multiply
    36,733x = 50,691.72 × 19,966
  4. Step 4: Simplify right side
    36,733x = 1,012,110,881.52
  5. Step 5: Solve for x
    x = 1,012,110,881.52/36,733
  6. Step 6: Final answer
    x = 27,553.18

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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.