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Finding the Fourth Proportional to 47,741.87, 65,908.41 and 33,657.59

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Solution

The fourth proportional to 47,741.87, 65,908.41 and 33,657.59 is: 46,464.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,741.87 : 65,908.41 = 33,657.59 : x
  2. Step 2: Convert to fraction form
    47,741.87/65,908.41 = 33,657.59/x
  3. Step 3: Cross multiply
    47,741.87x = 65,908.41 × 33,657.59
  4. Step 4: Simplify right side
    47,741.87x = 2,218,318,241.33
  5. Step 5: Solve for x
    x = 2,218,318,241.33/47,741.87
  6. Step 6: Final answer
    x = 46,464.84

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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.