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Finding the Fourth Proportional to 81,930.40, 122,823.60 and 55,549.60

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Solution

The fourth proportional to 81,930.40, 122,823.60 and 55,549.60 is: 83,275.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,930.40 : 122,823.60 = 55,549.60 : x
  2. Step 2: Convert to fraction form
    81,930.40/122,823.60 = 55,549.60/x
  3. Step 3: Cross multiply
    81,930.40x = 122,823.60 × 55,549.60
  4. Step 4: Simplify right side
    81,930.40x = 6,822,801,850.56
  5. Step 5: Solve for x
    x = 6,822,801,850.56/81,930.40
  6. Step 6: Final answer
    x = 83,275.58

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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.