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Finding the Fourth Proportional to 34,611.87, 47,765 and 20,282.01

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Solution

The fourth proportional to 34,611.87, 47,765 and 20,282.01 is: 27,989.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,611.87 : 47,765 = 20,282.01 : x
  2. Step 2: Convert to fraction form
    34,611.87/47,765 = 20,282.01/x
  3. Step 3: Cross multiply
    34,611.87x = 47,765 × 20,282.01
  4. Step 4: Simplify right side
    34,611.87x = 968,770,207.65
  5. Step 5: Solve for x
    x = 968,770,207.65/34,611.87
  6. Step 6: Final answer
    x = 27,989.54

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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.