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Finding the Fourth Proportional to 64,234.92, 96,328.44 and 22,103.22

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Solution

The fourth proportional to 64,234.92, 96,328.44 and 22,103.22 is: 33,146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,234.92 : 96,328.44 = 22,103.22 : x
  2. Step 2: Convert to fraction form
    64,234.92/96,328.44 = 22,103.22/x
  3. Step 3: Cross multiply
    64,234.92x = 96,328.44 × 22,103.22
  4. Step 4: Simplify right side
    64,234.92x = 2,129,168,701.58
  5. Step 5: Solve for x
    x = 2,129,168,701.58/64,234.92
  6. Step 6: Final answer
    x = 33,146.59

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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.