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Finding the Fourth Proportional to 27,107.38, 37,396.65 and 19,156.42

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Solution

The fourth proportional to 27,107.38, 37,396.65 and 19,156.42 is: 26,427.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,107.38 : 37,396.65 = 19,156.42 : x
  2. Step 2: Convert to fraction form
    27,107.38/37,396.65 = 19,156.42/x
  3. Step 3: Cross multiply
    27,107.38x = 37,396.65 × 19,156.42
  4. Step 4: Simplify right side
    27,107.38x = 716,385,933.99
  5. Step 5: Solve for x
    x = 716,385,933.99/27,107.38
  6. Step 6: Final answer
    x = 26,427.71

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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.