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Finding the Fourth Proportional to 78,878.60, 118,274.70 and 32,078.60

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Solution

The fourth proportional to 78,878.60, 118,274.70 and 32,078.60 is: 48,100.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,878.60 : 118,274.70 = 32,078.60 : x
  2. Step 2: Convert to fraction form
    78,878.60/118,274.70 = 32,078.60/x
  3. Step 3: Cross multiply
    78,878.60x = 118,274.70 × 32,078.60
  4. Step 4: Simplify right side
    78,878.60x = 3,794,086,791.42
  5. Step 5: Solve for x
    x = 3,794,086,791.42/78,878.60
  6. Step 6: Final answer
    x = 48,100.33

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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.