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Finding the Fourth Proportional to 81,383.90, 122,075.85 and 49,891.10

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Solution

The fourth proportional to 81,383.90, 122,075.85 and 49,891.10 is: 74,836.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,383.90 : 122,075.85 = 49,891.10 : x
  2. Step 2: Convert to fraction form
    81,383.90/122,075.85 = 49,891.10/x
  3. Step 3: Cross multiply
    81,383.90x = 122,075.85 × 49,891.10
  4. Step 4: Simplify right side
    81,383.90x = 6,090,498,439.94
  5. Step 5: Solve for x
    x = 6,090,498,439.94/81,383.90
  6. Step 6: Final answer
    x = 74,836.65

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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.