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Finding the Fourth Proportional to 78,819.60, 118,243.80 and 32,077.20

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Solution

The fourth proportional to 78,819.60, 118,243.80 and 32,077.20 is: 48,121.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,819.60 : 118,243.80 = 32,077.20 : x
  2. Step 2: Convert to fraction form
    78,819.60/118,243.80 = 32,077.20/x
  3. Step 3: Cross multiply
    78,819.60x = 118,243.80 × 32,077.20
  4. Step 4: Simplify right side
    78,819.60x = 3,792,930,021.36
  5. Step 5: Solve for x
    x = 3,792,930,021.36/78,819.60
  6. Step 6: Final answer
    x = 48,121.66

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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.