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Finding the Fourth Proportional to 95,977.35, 143,993.69 and 29,427.30

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Solution

The fourth proportional to 95,977.35, 143,993.69 and 29,427.30 is: 44,149.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,977.35 : 143,993.69 = 29,427.30 : x
  2. Step 2: Convert to fraction form
    95,977.35/143,993.69 = 29,427.30/x
  3. Step 3: Cross multiply
    95,977.35x = 143,993.69 × 29,427.30
  4. Step 4: Simplify right side
    95,977.35x = 4,237,345,513.74
  5. Step 5: Solve for x
    x = 4,237,345,513.74/95,977.35
  6. Step 6: Final answer
    x = 44,149.43

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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.