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Finding the Fourth Proportional to 68,461.20, 102,768.60 and 52,947.60

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Solution

The fourth proportional to 68,461.20, 102,768.60 and 52,947.60 is: 79,480.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,461.20 : 102,768.60 = 52,947.60 : x
  2. Step 2: Convert to fraction form
    68,461.20/102,768.60 = 52,947.60/x
  3. Step 3: Cross multiply
    68,461.20x = 102,768.60 × 52,947.60
  4. Step 4: Simplify right side
    68,461.20x = 5,441,350,725.36
  5. Step 5: Solve for x
    x = 5,441,350,725.36/68,461.20
  6. Step 6: Final answer
    x = 79,480.80

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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.