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Finding the Fourth Proportional to 61,294.50, 84,530.24 and 39,761.82

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Solution

The fourth proportional to 61,294.50, 84,530.24 and 39,761.82 is: 54,834.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,294.50 : 84,530.24 = 39,761.82 : x
  2. Step 2: Convert to fraction form
    61,294.50/84,530.24 = 39,761.82/x
  3. Step 3: Cross multiply
    61,294.50x = 84,530.24 × 39,761.82
  4. Step 4: Simplify right side
    61,294.50x = 3,361,076,187.44
  5. Step 5: Solve for x
    x = 3,361,076,187.44/61,294.50
  6. Step 6: Final answer
    x = 54,834.87

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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.