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Finding the Fourth Proportional to 78,672.80, 117,836.40 and 47,453.60

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Solution

The fourth proportional to 78,672.80, 117,836.40 and 47,453.60 is: 71,076.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,672.80 : 117,836.40 = 47,453.60 : x
  2. Step 2: Convert to fraction form
    78,672.80/117,836.40 = 47,453.60/x
  3. Step 3: Cross multiply
    78,672.80x = 117,836.40 × 47,453.60
  4. Step 4: Simplify right side
    78,672.80x = 5,591,761,391.04
  5. Step 5: Solve for x
    x = 5,591,761,391.04/78,672.80
  6. Step 6: Final answer
    x = 71,076.17

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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.