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Finding the Fourth Proportional to 65,396.86, 98,096.18 and 18,649.72

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Solution

The fourth proportional to 65,396.86, 98,096.18 and 18,649.72 is: 27,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,396.86 : 98,096.18 = 18,649.72 : x
  2. Step 2: Convert to fraction form
    65,396.86/98,096.18 = 18,649.72/x
  3. Step 3: Cross multiply
    65,396.86x = 98,096.18 × 18,649.72
  4. Step 4: Simplify right side
    65,396.86x = 1,829,466,290.07
  5. Step 5: Solve for x
    x = 1,829,466,290.07/65,396.86
  6. Step 6: Final answer
    x = 27,974.83

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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.