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Finding the Fourth Proportional to 85,218.20, 127,842.15 and 35,270.90

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Solution

The fourth proportional to 85,218.20, 127,842.15 and 35,270.90 is: 52,912.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,218.20 : 127,842.15 = 35,270.90 : x
  2. Step 2: Convert to fraction form
    85,218.20/127,842.15 = 35,270.90/x
  3. Step 3: Cross multiply
    85,218.20x = 127,842.15 × 35,270.90
  4. Step 4: Simplify right side
    85,218.20x = 4,509,107,688.44
  5. Step 5: Solve for x
    x = 4,509,107,688.44/85,218.20
  6. Step 6: Final answer
    x = 52,912.50

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Why These Related Problems?

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