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Finding the Fourth Proportional to 75,682.08, 103,684.96 and 72,844.44

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Solution

The fourth proportional to 75,682.08, 103,684.96 and 72,844.44 is: 99,797.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,682.08 : 103,684.96 = 72,844.44 : x
  2. Step 2: Convert to fraction form
    75,682.08/103,684.96 = 72,844.44/x
  3. Step 3: Cross multiply
    75,682.08x = 103,684.96 × 72,844.44
  4. Step 4: Simplify right side
    75,682.08x = 7,552,872,847.62
  5. Step 5: Solve for x
    x = 7,552,872,847.62/75,682.08
  6. Step 6: Final answer
    x = 99,797.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.