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Finding the Fourth Proportional to 109,651.60, 164,515.80 and 47,366.80

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Solution

The fourth proportional to 109,651.60, 164,515.80 and 47,366.80 is: 71,066.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,651.60 : 164,515.80 = 47,366.80 : x
  2. Step 2: Convert to fraction form
    109,651.60/164,515.80 = 47,366.80/x
  3. Step 3: Cross multiply
    109,651.60x = 164,515.80 × 47,366.80
  4. Step 4: Simplify right side
    109,651.60x = 7,792,586,995.44
  5. Step 5: Solve for x
    x = 7,792,586,995.44/109,651.60
  6. Step 6: Final answer
    x = 71,066.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.