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Finding the Fourth Proportional to 65,377.72, 98,056.86 and 23,815

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Solution

The fourth proportional to 65,377.72, 98,056.86 and 23,815 is: 35,718.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,377.72 : 98,056.86 = 23,815 : x
  2. Step 2: Convert to fraction form
    65,377.72/98,056.86 = 23,815/x
  3. Step 3: Cross multiply
    65,377.72x = 98,056.86 × 23,815
  4. Step 4: Simplify right side
    65,377.72x = 2,335,224,120.90
  5. Step 5: Solve for x
    x = 2,335,224,120.90/65,377.72
  6. Step 6: Final answer
    x = 35,718.96

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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.