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Finding the Fourth Proportional to 41,202.99, 56,842.01 and 27,769.35

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Solution

The fourth proportional to 41,202.99, 56,842.01 and 27,769.35 is: 38,309.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,202.99 : 56,842.01 = 27,769.35 : x
  2. Step 2: Convert to fraction form
    41,202.99/56,842.01 = 27,769.35/x
  3. Step 3: Cross multiply
    41,202.99x = 56,842.01 × 27,769.35
  4. Step 4: Simplify right side
    41,202.99x = 1,578,465,531.55
  5. Step 5: Solve for x
    x = 1,578,465,531.55/41,202.99
  6. Step 6: Final answer
    x = 38,309.49

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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.