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Finding the Fourth Proportional to 50,500.74, 69,691 and 27,840.10

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Solution

The fourth proportional to 50,500.74, 69,691 and 27,840.10 is: 38,419.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,500.74 : 69,691 = 27,840.10 : x
  2. Step 2: Convert to fraction form
    50,500.74/69,691 = 27,840.10/x
  3. Step 3: Cross multiply
    50,500.74x = 69,691 × 27,840.10
  4. Step 4: Simplify right side
    50,500.74x = 1,940,204,409.10
  5. Step 5: Solve for x
    x = 1,940,204,409.10/50,500.74
  6. Step 6: Final answer
    x = 38,419.33

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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.