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Finding the Fourth Proportional to 81,433.70, 122,114.10 and 37,037.60

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Solution

The fourth proportional to 81,433.70, 122,114.10 and 37,037.60 is: 55,539.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,433.70 : 122,114.10 = 37,037.60 : x
  2. Step 2: Convert to fraction form
    81,433.70/122,114.10 = 37,037.60/x
  3. Step 3: Cross multiply
    81,433.70x = 122,114.10 × 37,037.60
  4. Step 4: Simplify right side
    81,433.70x = 4,522,813,190.16
  5. Step 5: Solve for x
    x = 4,522,813,190.16/81,433.70
  6. Step 6: Final answer
    x = 55,539.82

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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.