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Finding the Fourth Proportional to 64,614.56, 96,914.12 and 17,233.20

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Solution

The fourth proportional to 64,614.56, 96,914.12 and 17,233.20 is: 25,847.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,614.56 : 96,914.12 = 17,233.20 : x
  2. Step 2: Convert to fraction form
    64,614.56/96,914.12 = 17,233.20/x
  3. Step 3: Cross multiply
    64,614.56x = 96,914.12 × 17,233.20
  4. Step 4: Simplify right side
    64,614.56x = 1,670,140,326.62
  5. Step 5: Solve for x
    x = 1,670,140,326.62/64,614.56
  6. Step 6: Final answer
    x = 25,847.74

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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.