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Finding the Fourth Proportional to 69,200, 103,873.92 and 29,776.64

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Solution

The fourth proportional to 69,200, 103,873.92 and 29,776.64 is: 44,696.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,200 : 103,873.92 = 29,776.64 : x
  2. Step 2: Convert to fraction form
    69,200/103,873.92 = 29,776.64/x
  3. Step 3: Cross multiply
    69,200x = 103,873.92 × 29,776.64
  4. Step 4: Simplify right side
    69,200x = 3,093,016,321.23
  5. Step 5: Solve for x
    x = 3,093,016,321.23/69,200
  6. Step 6: Final answer
    x = 44,696.77

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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.