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Finding the Fourth Proportional to 81,443.60, 122,132.60 and 34,027.62

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Solution

The fourth proportional to 81,443.60, 122,132.60 and 34,027.62 is: 51,027.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,443.60 : 122,132.60 = 34,027.62 : x
  2. Step 2: Convert to fraction form
    81,443.60/122,132.60 = 34,027.62/x
  3. Step 3: Cross multiply
    81,443.60x = 122,132.60 × 34,027.62
  4. Step 4: Simplify right side
    81,443.60x = 4,155,881,702.41
  5. Step 5: Solve for x
    x = 4,155,881,702.41/81,443.60
  6. Step 6: Final answer
    x = 51,027.73

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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.