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Finding the Fourth Proportional to 49,101.72, 67,755.11 and 32,965.76

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Solution

The fourth proportional to 49,101.72, 67,755.11 and 32,965.76 is: 45,489.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,101.72 : 67,755.11 = 32,965.76 : x
  2. Step 2: Convert to fraction form
    49,101.72/67,755.11 = 32,965.76/x
  3. Step 3: Cross multiply
    49,101.72x = 67,755.11 × 32,965.76
  4. Step 4: Simplify right side
    49,101.72x = 2,233,598,946.84
  5. Step 5: Solve for x
    x = 2,233,598,946.84/49,101.72
  6. Step 6: Final answer
    x = 45,489.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.