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Finding the Fourth Proportional to 50,514.12, 69,709.97 and 27,854.01

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Solution

The fourth proportional to 50,514.12, 69,709.97 and 27,854.01 is: 38,438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,514.12 : 69,709.97 = 27,854.01 : x
  2. Step 2: Convert to fraction form
    50,514.12/69,709.97 = 27,854.01/x
  3. Step 3: Cross multiply
    50,514.12x = 69,709.97 × 27,854.01
  4. Step 4: Simplify right side
    50,514.12x = 1,941,702,062.21
  5. Step 5: Solve for x
    x = 1,941,702,062.21/50,514.12
  6. Step 6: Final answer
    x = 38,438.80

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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.