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Finding the Fourth Proportional to 49,090.86, 67,738.01 and 27,576.50

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Solution

The fourth proportional to 49,090.86, 67,738.01 and 27,576.50 is: 38,051.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,090.86 : 67,738.01 = 27,576.50 : x
  2. Step 2: Convert to fraction form
    49,090.86/67,738.01 = 27,576.50/x
  3. Step 3: Cross multiply
    49,090.86x = 67,738.01 × 27,576.50
  4. Step 4: Simplify right side
    49,090.86x = 1,867,976,756.19
  5. Step 5: Solve for x
    x = 1,867,976,756.19/49,090.86
  6. Step 6: Final answer
    x = 38,051.42

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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.