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Finding the Fourth Proportional to 65,176.72, 97,767.41 and 22,481.92

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Solution

The fourth proportional to 65,176.72, 97,767.41 and 22,481.92 is: 33,723.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,176.72 : 97,767.41 = 22,481.92 : x
  2. Step 2: Convert to fraction form
    65,176.72/97,767.41 = 22,481.92/x
  3. Step 3: Cross multiply
    65,176.72x = 97,767.41 × 22,481.92
  4. Step 4: Simplify right side
    65,176.72x = 2,197,999,090.23
  5. Step 5: Solve for x
    x = 2,197,999,090.23/65,176.72
  6. Step 6: Final answer
    x = 33,723.68

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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.