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Finding the Fourth Proportional to 84,896.87, 117,150.82 and 49,089.20

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Solution

The fourth proportional to 84,896.87, 117,150.82 and 49,089.20 is: 67,739.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,896.87 : 117,150.82 = 49,089.20 : x
  2. Step 2: Convert to fraction form
    84,896.87/117,150.82 = 49,089.20/x
  3. Step 3: Cross multiply
    84,896.87x = 117,150.82 × 49,089.20
  4. Step 4: Simplify right side
    84,896.87x = 5,750,839,324.67
  5. Step 5: Solve for x
    x = 5,750,839,324.67/84,896.87
  6. Step 6: Final answer
    x = 67,739.12

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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.