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Finding the Fourth Proportional to 65,384.20, 98,076.30 and 23,821.48

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Solution

The fourth proportional to 65,384.20, 98,076.30 and 23,821.48 is: 35,732.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,384.20 : 98,076.30 = 23,821.48 : x
  2. Step 2: Convert to fraction form
    65,384.20/98,076.30 = 23,821.48/x
  3. Step 3: Cross multiply
    65,384.20x = 98,076.30 × 23,821.48
  4. Step 4: Simplify right side
    65,384.20x = 2,336,322,618.92
  5. Step 5: Solve for x
    x = 2,336,322,618.92/65,384.20
  6. Step 6: Final answer
    x = 35,732.22

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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.