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Finding the Fourth Proportional to 91,842.20, 137,755.20 and 25,276.40

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Solution

The fourth proportional to 91,842.20, 137,755.20 and 25,276.40 is: 37,912.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,842.20 : 137,755.20 = 25,276.40 : x
  2. Step 2: Convert to fraction form
    91,842.20/137,755.20 = 25,276.40/x
  3. Step 3: Cross multiply
    91,842.20x = 137,755.20 × 25,276.40
  4. Step 4: Simplify right side
    91,842.20x = 3,481,955,537.28
  5. Step 5: Solve for x
    x = 3,481,955,537.28/91,842.20
  6. Step 6: Final answer
    x = 37,912.37

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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.