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Finding the Fourth Proportional to 61,408.44, 84,739.14 and 34,185.60

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Solution

The fourth proportional to 61,408.44, 84,739.14 and 34,185.60 is: 47,173.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,408.44 : 84,739.14 = 34,185.60 : x
  2. Step 2: Convert to fraction form
    61,408.44/84,739.14 = 34,185.60/x
  3. Step 3: Cross multiply
    61,408.44x = 84,739.14 × 34,185.60
  4. Step 4: Simplify right side
    61,408.44x = 2,896,858,344.38
  5. Step 5: Solve for x
    x = 2,896,858,344.38/61,408.44
  6. Step 6: Final answer
    x = 47,173.62

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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.