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Finding the Fourth Proportional to 50,265, 69,365.70 and 27,909

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Solution

The fourth proportional to 50,265, 69,365.70 and 27,909 is: 38,514.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,265 : 69,365.70 = 27,909 : x
  2. Step 2: Convert to fraction form
    50,265/69,365.70 = 27,909/x
  3. Step 3: Cross multiply
    50,265x = 69,365.70 × 27,909
  4. Step 4: Simplify right side
    50,265x = 1,935,927,321.30
  5. Step 5: Solve for x
    x = 1,935,927,321.30/50,265
  6. Step 6: Final answer
    x = 38,514.42

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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.