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Finding the Fourth Proportional to 40,216.44, 55,498.26 and 22,311

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Solution

The fourth proportional to 40,216.44, 55,498.26 and 22,311 is: 30,788.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,216.44 : 55,498.26 = 22,311 : x
  2. Step 2: Convert to fraction form
    40,216.44/55,498.26 = 22,311/x
  3. Step 3: Cross multiply
    40,216.44x = 55,498.26 × 22,311
  4. Step 4: Simplify right side
    40,216.44x = 1,238,221,678.86
  5. Step 5: Solve for x
    x = 1,238,221,678.86/40,216.44
  6. Step 6: Final answer
    x = 30,788.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.