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Finding the Fourth Proportional to 69,900.64, 104,838 and 23,147.44

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Solution

The fourth proportional to 69,900.64, 104,838 and 23,147.44 is: 34,716.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,900.64 : 104,838 = 23,147.44 : x
  2. Step 2: Convert to fraction form
    69,900.64/104,838 = 23,147.44/x
  3. Step 3: Cross multiply
    69,900.64x = 104,838 × 23,147.44
  4. Step 4: Simplify right side
    69,900.64x = 2,426,731,314.72
  5. Step 5: Solve for x
    x = 2,426,731,314.72/69,900.64
  6. Step 6: Final answer
    x = 34,716.87

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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.