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Finding the Fourth Proportional to 57,747.60, 79,617.60 and 47,361.06

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Solution

The fourth proportional to 57,747.60, 79,617.60 and 47,361.06 is: 65,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,747.60 : 79,617.60 = 47,361.06 : x
  2. Step 2: Convert to fraction form
    57,747.60/79,617.60 = 47,361.06/x
  3. Step 3: Cross multiply
    57,747.60x = 79,617.60 × 47,361.06
  4. Step 4: Simplify right side
    57,747.60x = 3,770,773,930.66
  5. Step 5: Solve for x
    x = 3,770,773,930.66/57,747.60
  6. Step 6: Final answer
    x = 65,297.50

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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.