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Finding the Fourth Proportional to 48,527.96, 72,791.96 and 27,736.88

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Solution

The fourth proportional to 48,527.96, 72,791.96 and 27,736.88 is: 41,605.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,527.96 : 72,791.96 = 27,736.88 : x
  2. Step 2: Convert to fraction form
    48,527.96/72,791.96 = 27,736.88/x
  3. Step 3: Cross multiply
    48,527.96x = 72,791.96 × 27,736.88
  4. Step 4: Simplify right side
    48,527.96x = 2,019,021,356.84
  5. Step 5: Solve for x
    x = 2,019,021,356.84/48,527.96
  6. Step 6: Final answer
    x = 41,605.33

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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.