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Finding the Fourth Proportional to 78,873.60, 118,267.20 and 32,073.60

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Solution

The fourth proportional to 78,873.60, 118,267.20 and 32,073.60 is: 48,092.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,873.60 : 118,267.20 = 32,073.60 : x
  2. Step 2: Convert to fraction form
    78,873.60/118,267.20 = 32,073.60/x
  3. Step 3: Cross multiply
    78,873.60x = 118,267.20 × 32,073.60
  4. Step 4: Simplify right side
    78,873.60x = 3,793,254,865.92
  5. Step 5: Solve for x
    x = 3,793,254,865.92/78,873.60
  6. Step 6: Final answer
    x = 48,092.83

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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.