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Finding the Fourth Proportional to 85,098, 127,647 and 22,766.88

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Solution

The fourth proportional to 85,098, 127,647 and 22,766.88 is: 34,150.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,098 : 127,647 = 22,766.88 : x
  2. Step 2: Convert to fraction form
    85,098/127,647 = 22,766.88/x
  3. Step 3: Cross multiply
    85,098x = 127,647 × 22,766.88
  4. Step 4: Simplify right side
    85,098x = 2,906,123,931.36
  5. Step 5: Solve for x
    x = 2,906,123,931.36/85,098
  6. Step 6: Final answer
    x = 34,150.32

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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.