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Finding the Fourth Proportional to 61,205.65, 84,442.14 and 39,997.21

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Solution

The fourth proportional to 61,205.65, 84,442.14 and 39,997.21 is: 55,182.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,205.65 : 84,442.14 = 39,997.21 : x
  2. Step 2: Convert to fraction form
    61,205.65/84,442.14 = 39,997.21/x
  3. Step 3: Cross multiply
    61,205.65x = 84,442.14 × 39,997.21
  4. Step 4: Simplify right side
    61,205.65x = 3,377,450,006.43
  5. Step 5: Solve for x
    x = 3,377,450,006.43/61,205.65
  6. Step 6: Final answer
    x = 55,182.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.