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Finding the Fourth Proportional to 70,801.82, 106,202.71 and 29,249.90

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Solution

The fourth proportional to 70,801.82, 106,202.71 and 29,249.90 is: 43,874.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,801.82 : 106,202.71 = 29,249.90 : x
  2. Step 2: Convert to fraction form
    70,801.82/106,202.71 = 29,249.90/x
  3. Step 3: Cross multiply
    70,801.82x = 106,202.71 × 29,249.90
  4. Step 4: Simplify right side
    70,801.82x = 3,106,418,647.23
  5. Step 5: Solve for x
    x = 3,106,418,647.23/70,801.82
  6. Step 6: Final answer
    x = 43,874.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.