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Finding the Fourth Proportional to 40,106, 55,346.38 and 22,202.22

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Solution

The fourth proportional to 40,106, 55,346.38 and 22,202.22 is: 30,639.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,106 : 55,346.38 = 22,202.22 : x
  2. Step 2: Convert to fraction form
    40,106/55,346.38 = 22,202.22/x
  3. Step 3: Cross multiply
    40,106x = 55,346.38 × 22,202.22
  4. Step 4: Simplify right side
    40,106x = 1,228,812,504.96
  5. Step 5: Solve for x
    x = 1,228,812,504.96/40,106
  6. Step 6: Final answer
    x = 30,639.12

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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.