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Finding the Fourth Proportional to 65,325.78, 97,965.14 and 22,619.61

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Solution

The fourth proportional to 65,325.78, 97,965.14 and 22,619.61 is: 33,921.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,325.78 : 97,965.14 = 22,619.61 : x
  2. Step 2: Convert to fraction form
    65,325.78/97,965.14 = 22,619.61/x
  3. Step 3: Cross multiply
    65,325.78x = 97,965.14 × 22,619.61
  4. Step 4: Simplify right side
    65,325.78x = 2,215,933,147.30
  5. Step 5: Solve for x
    x = 2,215,933,147.30/65,325.78
  6. Step 6: Final answer
    x = 33,921.27

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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.