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Finding the Fourth Proportional to 65,105.46, 89,847.23 and 36,424.17

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Solution

The fourth proportional to 65,105.46, 89,847.23 and 36,424.17 is: 50,266.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,105.46 : 89,847.23 = 36,424.17 : x
  2. Step 2: Convert to fraction form
    65,105.46/89,847.23 = 36,424.17/x
  3. Step 3: Cross multiply
    65,105.46x = 89,847.23 × 36,424.17
  4. Step 4: Simplify right side
    65,105.46x = 3,272,610,597.43
  5. Step 5: Solve for x
    x = 3,272,610,597.43/65,105.46
  6. Step 6: Final answer
    x = 50,266.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.