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Finding the Fourth Proportional to 47,149.26, 64,667.34 and 41,834.85

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Solution

The fourth proportional to 47,149.26, 64,667.34 and 41,834.85 is: 57,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,149.26 : 64,667.34 = 41,834.85 : x
  2. Step 2: Convert to fraction form
    47,149.26/64,667.34 = 41,834.85/x
  3. Step 3: Cross multiply
    47,149.26x = 64,667.34 × 41,834.85
  4. Step 4: Simplify right side
    47,149.26x = 2,705,348,468.80
  5. Step 5: Solve for x
    x = 2,705,348,468.80/47,149.26
  6. Step 6: Final answer
    x = 57,378.39

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