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Finding the Fourth Proportional to 67,797, 101,563.12 and 32,207.66

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Solution

The fourth proportional to 67,797, 101,563.12 and 32,207.66 is: 48,248.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,797 : 101,563.12 = 32,207.66 : x
  2. Step 2: Convert to fraction form
    67,797/101,563.12 = 32,207.66/x
  3. Step 3: Cross multiply
    67,797x = 101,563.12 × 32,207.66
  4. Step 4: Simplify right side
    67,797x = 3,271,110,169.64
  5. Step 5: Solve for x
    x = 3,271,110,169.64/67,797
  6. Step 6: Final answer
    x = 48,248.60

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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.