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Finding the Fourth Proportional to 36,410.97, 50,237.31 and 21,307.38

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Solution

The fourth proportional to 36,410.97, 50,237.31 and 21,307.38 is: 29,398.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,410.97 : 50,237.31 = 21,307.38 : x
  2. Step 2: Convert to fraction form
    36,410.97/50,237.31 = 21,307.38/x
  3. Step 3: Cross multiply
    36,410.97x = 50,237.31 × 21,307.38
  4. Step 4: Simplify right side
    36,410.97x = 1,070,425,454.35
  5. Step 5: Solve for x
    x = 1,070,425,454.35/36,410.97
  6. Step 6: Final answer
    x = 29,398.43

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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.