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Finding the Fourth Proportional to 65,847.74, 98,774.78 and 21,474.41

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Solution

The fourth proportional to 65,847.74, 98,774.78 and 21,474.41 is: 32,212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,847.74 : 98,774.78 = 21,474.41 : x
  2. Step 2: Convert to fraction form
    65,847.74/98,774.78 = 21,474.41/x
  3. Step 3: Cross multiply
    65,847.74x = 98,774.78 × 21,474.41
  4. Step 4: Simplify right side
    65,847.74x = 2,121,129,522.13
  5. Step 5: Solve for x
    x = 2,121,129,522.13/65,847.74
  6. Step 6: Final answer
    x = 32,212.64

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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.