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Finding the Fourth Proportional to 61,474.99, 84,834.65 and 34,617.82

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Solution

The fourth proportional to 61,474.99, 84,834.65 and 34,617.82 is: 47,772.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,474.99 : 84,834.65 = 34,617.82 : x
  2. Step 2: Convert to fraction form
    61,474.99/84,834.65 = 34,617.82/x
  3. Step 3: Cross multiply
    61,474.99x = 84,834.65 × 34,617.82
  4. Step 4: Simplify right side
    61,474.99x = 2,936,790,046.20
  5. Step 5: Solve for x
    x = 2,936,790,046.20/61,474.99
  6. Step 6: Final answer
    x = 47,772.11

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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.