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Finding the Fourth Proportional to 77,165.67, 106,452.65 and 49,950.54

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Solution

The fourth proportional to 77,165.67, 106,452.65 and 49,950.54 is: 68,908.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,165.67 : 106,452.65 = 49,950.54 : x
  2. Step 2: Convert to fraction form
    77,165.67/106,452.65 = 49,950.54/x
  3. Step 3: Cross multiply
    77,165.67x = 106,452.65 × 49,950.54
  4. Step 4: Simplify right side
    77,165.67x = 5,317,367,102.18
  5. Step 5: Solve for x
    x = 5,317,367,102.18/77,165.67
  6. Step 6: Final answer
    x = 68,908.46

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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.