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Finding the Fourth Proportional to 65,149.74, 89,910.90 and 36,472.02

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Solution

The fourth proportional to 65,149.74, 89,910.90 and 36,472.02 is: 50,333.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,149.74 : 89,910.90 = 36,472.02 : x
  2. Step 2: Convert to fraction form
    65,149.74/89,910.90 = 36,472.02/x
  3. Step 3: Cross multiply
    65,149.74x = 89,910.90 × 36,472.02
  4. Step 4: Simplify right side
    65,149.74x = 3,279,232,143.02
  5. Step 5: Solve for x
    x = 3,279,232,143.02/65,149.74
  6. Step 6: Final answer
    x = 50,333.77

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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.