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Finding the Fourth Proportional to 40,049.82, 55,281.86 and 28,116.08

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Solution

The fourth proportional to 40,049.82, 55,281.86 and 28,116.08 is: 38,809.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,049.82 : 55,281.86 = 28,116.08 : x
  2. Step 2: Convert to fraction form
    40,049.82/55,281.86 = 28,116.08/x
  3. Step 3: Cross multiply
    40,049.82x = 55,281.86 × 28,116.08
  4. Step 4: Simplify right side
    40,049.82x = 1,554,309,198.31
  5. Step 5: Solve for x
    x = 1,554,309,198.31/40,049.82
  6. Step 6: Final answer
    x = 38,809.39

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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.