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Finding the Fourth Proportional to 64,238.72, 96,334.11 and 22,106.88

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Solution

The fourth proportional to 64,238.72, 96,334.11 and 22,106.88 is: 33,152.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,238.72 : 96,334.11 = 22,106.88 : x
  2. Step 2: Convert to fraction form
    64,238.72/96,334.11 = 22,106.88/x
  3. Step 3: Cross multiply
    64,238.72x = 96,334.11 × 22,106.88
  4. Step 4: Simplify right side
    64,238.72x = 2,129,646,609.68
  5. Step 5: Solve for x
    x = 2,129,646,609.68/64,238.72
  6. Step 6: Final answer
    x = 33,152.07

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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.