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Finding the Fourth Proportional to 50,842.82, 76,228.65 and 36,620.48

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Solution

The fourth proportional to 50,842.82, 76,228.65 and 36,620.48 is: 54,905.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,842.82 : 76,228.65 = 36,620.48 : x
  2. Step 2: Convert to fraction form
    50,842.82/76,228.65 = 36,620.48/x
  3. Step 3: Cross multiply
    50,842.82x = 76,228.65 × 36,620.48
  4. Step 4: Simplify right side
    50,842.82x = 2,791,529,752.75
  5. Step 5: Solve for x
    x = 2,791,529,752.75/50,842.82
  6. Step 6: Final answer
    x = 54,905.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.