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Finding the Fourth Proportional to 65,954.18, 98,945.10 and 21,577.44

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Solution

The fourth proportional to 65,954.18, 98,945.10 and 21,577.44 is: 32,370.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,954.18 : 98,945.10 = 21,577.44 : x
  2. Step 2: Convert to fraction form
    65,954.18/98,945.10 = 21,577.44/x
  3. Step 3: Cross multiply
    65,954.18x = 98,945.10 × 21,577.44
  4. Step 4: Simplify right side
    65,954.18x = 2,134,981,958.54
  5. Step 5: Solve for x
    x = 2,134,981,958.54/65,954.18
  6. Step 6: Final answer
    x = 32,370.68

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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.