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Finding the Fourth Proportional to 75,969.83, 113,979.35 and 36,521.82

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Solution

The fourth proportional to 75,969.83, 113,979.35 and 36,521.82 is: 54,794.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,969.83 : 113,979.35 = 36,521.82 : x
  2. Step 2: Convert to fraction form
    75,969.83/113,979.35 = 36,521.82/x
  3. Step 3: Cross multiply
    75,969.83x = 113,979.35 × 36,521.82
  4. Step 4: Simplify right side
    75,969.83x = 4,162,733,395.72
  5. Step 5: Solve for x
    x = 4,162,733,395.72/75,969.83
  6. Step 6: Final answer
    x = 54,794.56

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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.