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Finding the Fourth Proportional to 65,013.92, 97,529.06 and 22,327.68

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Solution

The fourth proportional to 65,013.92, 97,529.06 and 22,327.68 is: 33,494.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,013.92 : 97,529.06 = 22,327.68 : x
  2. Step 2: Convert to fraction form
    65,013.92/97,529.06 = 22,327.68/x
  3. Step 3: Cross multiply
    65,013.92x = 97,529.06 × 22,327.68
  4. Step 4: Simplify right side
    65,013.92x = 2,177,597,698.20
  5. Step 5: Solve for x
    x = 2,177,597,698.20/65,013.92
  6. Step 6: Final answer
    x = 33,494.33

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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.