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Finding the Fourth Proportional to 65,222.10, 97,906.05 and 50,496.30

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Solution

The fourth proportional to 65,222.10, 97,906.05 and 50,496.30 is: 75,800.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,222.10 : 97,906.05 = 50,496.30 : x
  2. Step 2: Convert to fraction form
    65,222.10/97,906.05 = 50,496.30/x
  3. Step 3: Cross multiply
    65,222.10x = 97,906.05 × 50,496.30
  4. Step 4: Simplify right side
    65,222.10x = 4,943,893,272.62
  5. Step 5: Solve for x
    x = 4,943,893,272.62/65,222.10
  6. Step 6: Final answer
    x = 75,800.89

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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.