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Finding the Fourth Proportional to 40,427, 55,790.94 and 22,522

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Solution

The fourth proportional to 40,427, 55,790.94 and 22,522 is: 31,081.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,427 : 55,790.94 = 22,522 : x
  2. Step 2: Convert to fraction form
    40,427/55,790.94 = 22,522/x
  3. Step 3: Cross multiply
    40,427x = 55,790.94 × 22,522
  4. Step 4: Simplify right side
    40,427x = 1,256,523,550.68
  5. Step 5: Solve for x
    x = 1,256,523,550.68/40,427
  6. Step 6: Final answer
    x = 31,081.30

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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.