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Finding the Fourth Proportional to 66,497, 91,765.86 and 36,689

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Solution

The fourth proportional to 66,497, 91,765.86 and 36,689 is: 50,630.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,497 : 91,765.86 = 36,689 : x
  2. Step 2: Convert to fraction form
    66,497/91,765.86 = 36,689/x
  3. Step 3: Cross multiply
    66,497x = 91,765.86 × 36,689
  4. Step 4: Simplify right side
    66,497x = 3,366,797,637.54
  5. Step 5: Solve for x
    x = 3,366,797,637.54/66,497
  6. Step 6: Final answer
    x = 50,630.82

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