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Finding the Fourth Proportional to 50,181.96, 69,253.26 and 28,961.16

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Solution

The fourth proportional to 50,181.96, 69,253.26 and 28,961.16 is: 39,967.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,181.96 : 69,253.26 = 28,961.16 : x
  2. Step 2: Convert to fraction form
    50,181.96/69,253.26 = 28,961.16/x
  3. Step 3: Cross multiply
    50,181.96x = 69,253.26 × 28,961.16
  4. Step 4: Simplify right side
    50,181.96x = 2,005,654,743.38
  5. Step 5: Solve for x
    x = 2,005,654,743.38/50,181.96
  6. Step 6: Final answer
    x = 39,967.64

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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.