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Finding the Fourth Proportional to 46,249.74, 69,375 and 36,441.42

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Solution

The fourth proportional to 46,249.74, 69,375 and 36,441.42 is: 54,662.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,249.74 : 69,375 = 36,441.42 : x
  2. Step 2: Convert to fraction form
    46,249.74/69,375 = 36,441.42/x
  3. Step 3: Cross multiply
    46,249.74x = 69,375 × 36,441.42
  4. Step 4: Simplify right side
    46,249.74x = 2,528,123,512.50
  5. Step 5: Solve for x
    x = 2,528,123,512.50/46,249.74
  6. Step 6: Final answer
    x = 54,662.44

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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.