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Finding the Fourth Proportional to 65,213.80, 97,820.70 and 33,623.80

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Solution

The fourth proportional to 65,213.80, 97,820.70 and 33,623.80 is: 50,435.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,213.80 : 97,820.70 = 33,623.80 : x
  2. Step 2: Convert to fraction form
    65,213.80/97,820.70 = 33,623.80/x
  3. Step 3: Cross multiply
    65,213.80x = 97,820.70 × 33,623.80
  4. Step 4: Simplify right side
    65,213.80x = 3,289,103,652.66
  5. Step 5: Solve for x
    x = 3,289,103,652.66/65,213.80
  6. Step 6: Final answer
    x = 50,435.70

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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.