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Finding the Fourth Proportional to 64,132.56, 96,211.60 and 19,757.42

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Solution

The fourth proportional to 64,132.56, 96,211.60 and 19,757.42 is: 29,640.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,132.56 : 96,211.60 = 19,757.42 : x
  2. Step 2: Convert to fraction form
    64,132.56/96,211.60 = 19,757.42/x
  3. Step 3: Cross multiply
    64,132.56x = 96,211.60 × 19,757.42
  4. Step 4: Simplify right side
    64,132.56x = 1,900,892,990.07
  5. Step 5: Solve for x
    x = 1,900,892,990.07/64,132.56
  6. Step 6: Final answer
    x = 29,640.06

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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.