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Finding the Fourth Proportional to 64,481.42, 96,705.72 and 25,017

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Solution

The fourth proportional to 64,481.42, 96,705.72 and 25,017 is: 37,519.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,481.42 : 96,705.72 = 25,017 : x
  2. Step 2: Convert to fraction form
    64,481.42/96,705.72 = 25,017/x
  3. Step 3: Cross multiply
    64,481.42x = 96,705.72 × 25,017
  4. Step 4: Simplify right side
    64,481.42x = 2,419,286,997.24
  5. Step 5: Solve for x
    x = 2,419,286,997.24/64,481.42
  6. Step 6: Final answer
    x = 37,519.14

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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.