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Finding the Fourth Proportional to 40,022.70, 55,226.47 and 22,118

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Solution

The fourth proportional to 40,022.70, 55,226.47 and 22,118 is: 30,520.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,022.70 : 55,226.47 = 22,118 : x
  2. Step 2: Convert to fraction form
    40,022.70/55,226.47 = 22,118/x
  3. Step 3: Cross multiply
    40,022.70x = 55,226.47 × 22,118
  4. Step 4: Simplify right side
    40,022.70x = 1,221,499,063.46
  5. Step 5: Solve for x
    x = 1,221,499,063.46/40,022.70
  6. Step 6: Final answer
    x = 30,520.16

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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.