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Finding the Fourth Proportional to 81,437.46, 122,150.40 and 25,276.20

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Solution

The fourth proportional to 81,437.46, 122,150.40 and 25,276.20 is: 37,912.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,437.46 : 122,150.40 = 25,276.20 : x
  2. Step 2: Convert to fraction form
    81,437.46/122,150.40 = 25,276.20/x
  3. Step 3: Cross multiply
    81,437.46x = 122,150.40 × 25,276.20
  4. Step 4: Simplify right side
    81,437.46x = 3,087,497,940.48
  5. Step 5: Solve for x
    x = 3,087,497,940.48/81,437.46
  6. Step 6: Final answer
    x = 37,912.50

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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.