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Finding the Fourth Proportional to 50,475.86, 69,659.77 and 27,814.85

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Solution

The fourth proportional to 50,475.86, 69,659.77 and 27,814.85 is: 38,386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,475.86 : 69,659.77 = 27,814.85 : x
  2. Step 2: Convert to fraction form
    50,475.86/69,659.77 = 27,814.85/x
  3. Step 3: Cross multiply
    50,475.86x = 69,659.77 × 27,814.85
  4. Step 4: Simplify right side
    50,475.86x = 1,937,576,053.58
  5. Step 5: Solve for x
    x = 1,937,576,053.58/50,475.86
  6. Step 6: Final answer
    x = 38,386.19

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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.