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Finding the Fourth Proportional to 85,084.14, 127,616.54 and 22,759.50

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Solution

The fourth proportional to 85,084.14, 127,616.54 and 22,759.50 is: 34,136.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,084.14 : 127,616.54 = 22,759.50 : x
  2. Step 2: Convert to fraction form
    85,084.14/127,616.54 = 22,759.50/x
  3. Step 3: Cross multiply
    85,084.14x = 127,616.54 × 22,759.50
  4. Step 4: Simplify right side
    85,084.14x = 2,904,488,528.33
  5. Step 5: Solve for x
    x = 2,904,488,528.33/85,084.14
  6. Step 6: Final answer
    x = 34,136.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.