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Finding the Fourth Proportional to 85,201.32, 127,784.38 and 22,857

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Solution

The fourth proportional to 85,201.32, 127,784.38 and 22,857 is: 34,280.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,201.32 : 127,784.38 = 22,857 : x
  2. Step 2: Convert to fraction form
    85,201.32/127,784.38 = 22,857/x
  3. Step 3: Cross multiply
    85,201.32x = 127,784.38 × 22,857
  4. Step 4: Simplify right side
    85,201.32x = 2,920,767,573.66
  5. Step 5: Solve for x
    x = 2,920,767,573.66/85,201.32
  6. Step 6: Final answer
    x = 34,280.78

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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.