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Finding the Fourth Proportional to 76,993.10, 106,352.48 and 61,942.46

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Solution

The fourth proportional to 76,993.10, 106,352.48 and 61,942.46 is: 85,562.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,993.10 : 106,352.48 = 61,942.46 : x
  2. Step 2: Convert to fraction form
    76,993.10/106,352.48 = 61,942.46/x
  3. Step 3: Cross multiply
    76,993.10x = 106,352.48 × 61,942.46
  4. Step 4: Simplify right side
    76,993.10x = 6,587,734,238.30
  5. Step 5: Solve for x
    x = 6,587,734,238.30/76,993.10
  6. Step 6: Final answer
    x = 85,562.66

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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.