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Finding the Fourth Proportional to 65,381.22, 98,062.11 and 23,818.50

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Solution

The fourth proportional to 65,381.22, 98,062.11 and 23,818.50 is: 35,724.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,381.22 : 98,062.11 = 23,818.50 : x
  2. Step 2: Convert to fraction form
    65,381.22/98,062.11 = 23,818.50/x
  3. Step 3: Cross multiply
    65,381.22x = 98,062.11 × 23,818.50
  4. Step 4: Simplify right side
    65,381.22x = 2,335,692,367.04
  5. Step 5: Solve for x
    x = 2,335,692,367.04/65,381.22
  6. Step 6: Final answer
    x = 35,724.21

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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.