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Finding the Fourth Proportional to 41,796.74, 57,682.05 and 27,624.98

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Solution

The fourth proportional to 41,796.74, 57,682.05 and 27,624.98 is: 38,124.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,796.74 : 57,682.05 = 27,624.98 : x
  2. Step 2: Convert to fraction form
    41,796.74/57,682.05 = 27,624.98/x
  3. Step 3: Cross multiply
    41,796.74x = 57,682.05 × 27,624.98
  4. Step 4: Simplify right side
    41,796.74x = 1,593,465,477.61
  5. Step 5: Solve for x
    x = 1,593,465,477.61/41,796.74
  6. Step 6: Final answer
    x = 38,124.16

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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.