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Finding the Fourth Proportional to 36,955.46, 55,420.22 and 22,894

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Solution

The fourth proportional to 36,955.46, 55,420.22 and 22,894 is: 34,332.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,955.46 : 55,420.22 = 22,894 : x
  2. Step 2: Convert to fraction form
    36,955.46/55,420.22 = 22,894/x
  3. Step 3: Cross multiply
    36,955.46x = 55,420.22 × 22,894
  4. Step 4: Simplify right side
    36,955.46x = 1,268,790,516.68
  5. Step 5: Solve for x
    x = 1,268,790,516.68/36,955.46
  6. Step 6: Final answer
    x = 34,332.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.