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Finding the Fourth Proportional to 40,346.82, 55,674.34 and 22,438.96

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Solution

The fourth proportional to 40,346.82, 55,674.34 and 22,438.96 is: 30,963.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,346.82 : 55,674.34 = 22,438.96 : x
  2. Step 2: Convert to fraction form
    40,346.82/55,674.34 = 22,438.96/x
  3. Step 3: Cross multiply
    40,346.82x = 55,674.34 × 22,438.96
  4. Step 4: Simplify right side
    40,346.82x = 1,249,274,288.29
  5. Step 5: Solve for x
    x = 1,249,274,288.29/40,346.82
  6. Step 6: Final answer
    x = 30,963.39

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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.