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Finding the Fourth Proportional to 85,168.16, 127,734.96 and 22,824.08

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Solution

The fourth proportional to 85,168.16, 127,734.96 and 22,824.08 is: 34,231.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,168.16 : 127,734.96 = 22,824.08 : x
  2. Step 2: Convert to fraction form
    85,168.16/127,734.96 = 22,824.08/x
  3. Step 3: Cross multiply
    85,168.16x = 127,734.96 × 22,824.08
  4. Step 4: Simplify right side
    85,168.16x = 2,915,432,945.84
  5. Step 5: Solve for x
    x = 2,915,432,945.84/85,168.16
  6. Step 6: Final answer
    x = 34,231.49

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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.