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Finding the Fourth Proportional to 65,175.72, 97,765.91 and 22,480.92

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Solution

The fourth proportional to 65,175.72, 97,765.91 and 22,480.92 is: 33,722.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,175.72 : 97,765.91 = 22,480.92 : x
  2. Step 2: Convert to fraction form
    65,175.72/97,765.91 = 22,480.92/x
  3. Step 3: Cross multiply
    65,175.72x = 97,765.91 × 22,480.92
  4. Step 4: Simplify right side
    65,175.72x = 2,197,867,489.03
  5. Step 5: Solve for x
    x = 2,197,867,489.03/65,175.72
  6. Step 6: Final answer
    x = 33,722.18

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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.