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Finding the Fourth Proportional to 69,700.32, 96,188.40 and 41,022

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Solution

The fourth proportional to 69,700.32, 96,188.40 and 41,022 is: 56,611.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,700.32 : 96,188.40 = 41,022 : x
  2. Step 2: Convert to fraction form
    69,700.32/96,188.40 = 41,022/x
  3. Step 3: Cross multiply
    69,700.32x = 96,188.40 × 41,022
  4. Step 4: Simplify right side
    69,700.32x = 3,945,840,544.80
  5. Step 5: Solve for x
    x = 3,945,840,544.80/69,700.32
  6. Step 6: Final answer
    x = 56,611.51

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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.