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Finding the Fourth Proportional to 50,475.72, 69,659.54 and 27,814.67

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Solution

The fourth proportional to 50,475.72, 69,659.54 and 27,814.67 is: 38,385.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,475.72 : 69,659.54 = 27,814.67 : x
  2. Step 2: Convert to fraction form
    50,475.72/69,659.54 = 27,814.67/x
  3. Step 3: Cross multiply
    50,475.72x = 69,659.54 × 27,814.67
  4. Step 4: Simplify right side
    50,475.72x = 1,937,557,361.14
  5. Step 5: Solve for x
    x = 1,937,557,361.14/50,475.72
  6. Step 6: Final answer
    x = 38,385.93

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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.