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Finding the Fourth Proportional to 50,131.50, 69,181.50 and 27,779.82

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Solution

The fourth proportional to 50,131.50, 69,181.50 and 27,779.82 is: 38,336.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,131.50 : 69,181.50 = 27,779.82 : x
  2. Step 2: Convert to fraction form
    50,131.50/69,181.50 = 27,779.82/x
  3. Step 3: Cross multiply
    50,131.50x = 69,181.50 × 27,779.82
  4. Step 4: Simplify right side
    50,131.50x = 1,921,849,617.33
  5. Step 5: Solve for x
    x = 1,921,849,617.33/50,131.50
  6. Step 6: Final answer
    x = 38,336.17

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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.