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Finding the Fourth Proportional to 50,214.75, 69,297 and 27,552.30

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Solution

The fourth proportional to 50,214.75, 69,297 and 27,552.30 is: 38,022.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,214.75 : 69,297 = 27,552.30 : x
  2. Step 2: Convert to fraction form
    50,214.75/69,297 = 27,552.30/x
  3. Step 3: Cross multiply
    50,214.75x = 69,297 × 27,552.30
  4. Step 4: Simplify right side
    50,214.75x = 1,909,291,733.10
  5. Step 5: Solve for x
    x = 1,909,291,733.10/50,214.75
  6. Step 6: Final answer
    x = 38,022.53

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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.