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Finding the Fourth Proportional to 65,845, 90,867.54 and 36,037

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Solution

The fourth proportional to 65,845, 90,867.54 and 36,037 is: 49,731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,845 : 90,867.54 = 36,037 : x
  2. Step 2: Convert to fraction form
    65,845/90,867.54 = 36,037/x
  3. Step 3: Cross multiply
    65,845x = 90,867.54 × 36,037
  4. Step 4: Simplify right side
    65,845x = 3,274,593,538.98
  5. Step 5: Solve for x
    x = 3,274,593,538.98/65,845
  6. Step 6: Final answer
    x = 49,731.85

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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.