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Finding the Fourth Proportional to 61,408.50, 84,743.74 and 34,912.50

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Solution

The fourth proportional to 61,408.50, 84,743.74 and 34,912.50 is: 48,179.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,408.50 : 84,743.74 = 34,912.50 : x
  2. Step 2: Convert to fraction form
    61,408.50/84,743.74 = 34,912.50/x
  3. Step 3: Cross multiply
    61,408.50x = 84,743.74 × 34,912.50
  4. Step 4: Simplify right side
    61,408.50x = 2,958,615,822.75
  5. Step 5: Solve for x
    x = 2,958,615,822.75/61,408.50
  6. Step 6: Final answer
    x = 48,179.26

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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.