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Finding the Fourth Proportional to 66,502, 91,772.76 and 36,694

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Solution

The fourth proportional to 66,502, 91,772.76 and 36,694 is: 50,637.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,502 : 91,772.76 = 36,694 : x
  2. Step 2: Convert to fraction form
    66,502/91,772.76 = 36,694/x
  3. Step 3: Cross multiply
    66,502x = 91,772.76 × 36,694
  4. Step 4: Simplify right side
    66,502x = 3,367,509,655.44
  5. Step 5: Solve for x
    x = 3,367,509,655.44/66,502
  6. Step 6: Final answer
    x = 50,637.72

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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.