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Finding the Fourth Proportional to 64,540.25, 96,820.23 and 32,933.07

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Solution

The fourth proportional to 64,540.25, 96,820.23 and 32,933.07 is: 49,404.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,540.25 : 96,820.23 = 32,933.07 : x
  2. Step 2: Convert to fraction form
    64,540.25/96,820.23 = 32,933.07/x
  3. Step 3: Cross multiply
    64,540.25x = 96,820.23 × 32,933.07
  4. Step 4: Simplify right side
    64,540.25x = 3,188,587,412.01
  5. Step 5: Solve for x
    x = 3,188,587,412.01/64,540.25
  6. Step 6: Final answer
    x = 49,404.64

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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.