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Finding the Fourth Proportional to 64,793.22, 97,199.64 and 33,221.40

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Solution

The fourth proportional to 64,793.22, 97,199.64 and 33,221.40 is: 49,837.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,793.22 : 97,199.64 = 33,221.40 : x
  2. Step 2: Convert to fraction form
    64,793.22/97,199.64 = 33,221.40/x
  3. Step 3: Cross multiply
    64,793.22x = 97,199.64 × 33,221.40
  4. Step 4: Simplify right side
    64,793.22x = 3,229,108,120.30
  5. Step 5: Solve for x
    x = 3,229,108,120.30/64,793.22
  6. Step 6: Final answer
    x = 49,837.13

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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.