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Finding the Fourth Proportional to 61,408.49, 84,742.71 and 34,550.97

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Solution

The fourth proportional to 61,408.49, 84,742.71 and 34,550.97 is: 47,679.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,408.49 : 84,742.71 = 34,550.97 : x
  2. Step 2: Convert to fraction form
    61,408.49/84,742.71 = 34,550.97/x
  3. Step 3: Cross multiply
    61,408.49x = 84,742.71 × 34,550.97
  4. Step 4: Simplify right side
    61,408.49x = 2,927,942,830.93
  5. Step 5: Solve for x
    x = 2,927,942,830.93/61,408.49
  6. Step 6: Final answer
    x = 47,679.78

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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.