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Finding the Fourth Proportional to 50,309.30, 69,428.21 and 27,648.56

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Solution

The fourth proportional to 50,309.30, 69,428.21 and 27,648.56 is: 38,155.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,309.30 : 69,428.21 = 27,648.56 : x
  2. Step 2: Convert to fraction form
    50,309.30/69,428.21 = 27,648.56/x
  3. Step 3: Cross multiply
    50,309.30x = 69,428.21 × 27,648.56
  4. Step 4: Simplify right side
    50,309.30x = 1,919,590,065.21
  5. Step 5: Solve for x
    x = 1,919,590,065.21/50,309.30
  6. Step 6: Final answer
    x = 38,155.77

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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.