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Finding the Fourth Proportional to 60,441.86, 83,408.25 and 33,584.44

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Solution

The fourth proportional to 60,441.86, 83,408.25 and 33,584.44 is: 46,345.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,441.86 : 83,408.25 = 33,584.44 : x
  2. Step 2: Convert to fraction form
    60,441.86/83,408.25 = 33,584.44/x
  3. Step 3: Cross multiply
    60,441.86x = 83,408.25 × 33,584.44
  4. Step 4: Simplify right side
    60,441.86x = 2,801,218,866.63
  5. Step 5: Solve for x
    x = 2,801,218,866.63/60,441.86
  6. Step 6: Final answer
    x = 46,345.68

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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.