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Finding the Fourth Proportional to 64,196.46, 96,294.42 and 17,449.20

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Solution

The fourth proportional to 64,196.46, 96,294.42 and 17,449.20 is: 26,173.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,196.46 : 96,294.42 = 17,449.20 : x
  2. Step 2: Convert to fraction form
    64,196.46/96,294.42 = 17,449.20/x
  3. Step 3: Cross multiply
    64,196.46x = 96,294.42 × 17,449.20
  4. Step 4: Simplify right side
    64,196.46x = 1,680,260,593.46
  5. Step 5: Solve for x
    x = 1,680,260,593.46/64,196.46
  6. Step 6: Final answer
    x = 26,173.73

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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.