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Finding the Fourth Proportional to 65,380.73, 98,071.10 and 45,697.73

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Solution

The fourth proportional to 65,380.73, 98,071.10 and 45,697.73 is: 68,546.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,380.73 : 98,071.10 = 45,697.73 : x
  2. Step 2: Convert to fraction form
    65,380.73/98,071.10 = 45,697.73/x
  3. Step 3: Cross multiply
    65,380.73x = 98,071.10 × 45,697.73
  4. Step 4: Simplify right side
    65,380.73x = 4,481,626,648.60
  5. Step 5: Solve for x
    x = 4,481,626,648.60/65,380.73
  6. Step 6: Final answer
    x = 68,546.60

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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.