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Finding the Fourth Proportional to 65,220.19, 97,794.34 and 20,229.09

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Solution

The fourth proportional to 65,220.19, 97,794.34 and 20,229.09 is: 30,332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,220.19 : 97,794.34 = 20,229.09 : x
  2. Step 2: Convert to fraction form
    65,220.19/97,794.34 = 20,229.09/x
  3. Step 3: Cross multiply
    65,220.19x = 97,794.34 × 20,229.09
  4. Step 4: Simplify right side
    65,220.19x = 1,978,290,638.14
  5. Step 5: Solve for x
    x = 1,978,290,638.14/65,220.19
  6. Step 6: Final answer
    x = 30,332.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.