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Finding the Fourth Proportional to 50,415.96, 69,575.52 and 27,757.32

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Solution

The fourth proportional to 50,415.96, 69,575.52 and 27,757.32 is: 38,305.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,415.96 : 69,575.52 = 27,757.32 : x
  2. Step 2: Convert to fraction form
    50,415.96/69,575.52 = 27,757.32/x
  3. Step 3: Cross multiply
    50,415.96x = 69,575.52 × 27,757.32
  4. Step 4: Simplify right side
    50,415.96x = 1,931,229,972.81
  5. Step 5: Solve for x
    x = 1,931,229,972.81/50,415.96
  6. Step 6: Final answer
    x = 38,305.92

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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.