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Finding the Fourth Proportional to 65,761.71, 98,697.66 and 34,191.15

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Solution

The fourth proportional to 65,761.71, 98,697.66 and 34,191.15 is: 51,315.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,761.71 : 98,697.66 = 34,191.15 : x
  2. Step 2: Convert to fraction form
    65,761.71/98,697.66 = 34,191.15/x
  3. Step 3: Cross multiply
    65,761.71x = 98,697.66 × 34,191.15
  4. Step 4: Simplify right side
    65,761.71x = 3,374,586,497.71
  5. Step 5: Solve for x
    x = 3,374,586,497.71/65,761.71
  6. Step 6: Final answer
    x = 51,315.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.