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Finding the Fourth Proportional to 54,992.84, 75,924.52 and 37,794.83

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Solution

The fourth proportional to 54,992.84, 75,924.52 and 37,794.83 is: 52,180.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,992.84 : 75,924.52 = 37,794.83 : x
  2. Step 2: Convert to fraction form
    54,992.84/75,924.52 = 37,794.83/x
  3. Step 3: Cross multiply
    54,992.84x = 75,924.52 × 37,794.83
  4. Step 4: Simplify right side
    54,992.84x = 2,869,554,421.56
  5. Step 5: Solve for x
    x = 2,869,554,421.56/54,992.84
  6. Step 6: Final answer
    x = 52,180.51

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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.