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Finding the Fourth Proportional to 70,944.81, 106,417.22 and 24,198.09

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Solution

The fourth proportional to 70,944.81, 106,417.22 and 24,198.09 is: 36,297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,944.81 : 106,417.22 = 24,198.09 : x
  2. Step 2: Convert to fraction form
    70,944.81/106,417.22 = 24,198.09/x
  3. Step 3: Cross multiply
    70,944.81x = 106,417.22 × 24,198.09
  4. Step 4: Simplify right side
    70,944.81x = 2,575,093,346.12
  5. Step 5: Solve for x
    x = 2,575,093,346.12/70,944.81
  6. Step 6: Final answer
    x = 36,297.14

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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.