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Finding the Fourth Proportional to 40,800.16, 56,296.74 and 27,390.88

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Solution

The fourth proportional to 40,800.16, 56,296.74 and 27,390.88 is: 37,794.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,800.16 : 56,296.74 = 27,390.88 : x
  2. Step 2: Convert to fraction form
    40,800.16/56,296.74 = 27,390.88/x
  3. Step 3: Cross multiply
    40,800.16x = 56,296.74 × 27,390.88
  4. Step 4: Simplify right side
    40,800.16x = 1,542,017,249.73
  5. Step 5: Solve for x
    x = 1,542,017,249.73/40,800.16
  6. Step 6: Final answer
    x = 37,794.39

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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.