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Finding the Fourth Proportional to 64,272.96, 96,415.92 and 22,147.49

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Solution

The fourth proportional to 64,272.96, 96,415.92 and 22,147.49 is: 33,223.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,272.96 : 96,415.92 = 22,147.49 : x
  2. Step 2: Convert to fraction form
    64,272.96/96,415.92 = 22,147.49/x
  3. Step 3: Cross multiply
    64,272.96x = 96,415.92 × 22,147.49
  4. Step 4: Simplify right side
    64,272.96x = 2,135,370,865.08
  5. Step 5: Solve for x
    x = 2,135,370,865.08/64,272.96
  6. Step 6: Final answer
    x = 33,223.47

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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.