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Finding the Fourth Proportional to 65,842.22, 98,766.52 and 21,468.90

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Solution

The fourth proportional to 65,842.22, 98,766.52 and 21,468.90 is: 32,204.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,842.22 : 98,766.52 = 21,468.90 : x
  2. Step 2: Convert to fraction form
    65,842.22/98,766.52 = 21,468.90/x
  3. Step 3: Cross multiply
    65,842.22x = 98,766.52 × 21,468.90
  4. Step 4: Simplify right side
    65,842.22x = 2,120,408,541.23
  5. Step 5: Solve for x
    x = 2,120,408,541.23/65,842.22
  6. Step 6: Final answer
    x = 32,204.39

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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.