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Finding the Fourth Proportional to 78,902.73, 118,354.10 and 32,147.37

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Solution

The fourth proportional to 78,902.73, 118,354.10 and 32,147.37 is: 48,221.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,902.73 : 118,354.10 = 32,147.37 : x
  2. Step 2: Convert to fraction form
    78,902.73/118,354.10 = 32,147.37/x
  3. Step 3: Cross multiply
    78,902.73x = 118,354.10 × 32,147.37
  4. Step 4: Simplify right side
    78,902.73x = 3,804,773,043.72
  5. Step 5: Solve for x
    x = 3,804,773,043.72/78,902.73
  6. Step 6: Final answer
    x = 48,221.06

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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.