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Finding the Fourth Proportional to 53,857.65, 80,769.47 and 49,855.44

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Solution

The fourth proportional to 53,857.65, 80,769.47 and 49,855.44 is: 74,767.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,857.65 : 80,769.47 = 49,855.44 : x
  2. Step 2: Convert to fraction form
    53,857.65/80,769.47 = 49,855.44/x
  3. Step 3: Cross multiply
    53,857.65x = 80,769.47 × 49,855.44
  4. Step 4: Simplify right side
    53,857.65x = 4,026,797,216.14
  5. Step 5: Solve for x
    x = 4,026,797,216.14/53,857.65
  6. Step 6: Final answer
    x = 74,767.41

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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.