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Finding the Fourth Proportional to 38,446.76, 53,057.22 and 22,542.68

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Solution

The fourth proportional to 38,446.76, 53,057.22 and 22,542.68 is: 31,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,446.76 : 53,057.22 = 22,542.68 : x
  2. Step 2: Convert to fraction form
    38,446.76/53,057.22 = 22,542.68/x
  3. Step 3: Cross multiply
    38,446.76x = 53,057.22 × 22,542.68
  4. Step 4: Simplify right side
    38,446.76x = 1,196,051,932.15
  5. Step 5: Solve for x
    x = 1,196,051,932.15/38,446.76
  6. Step 6: Final answer
    x = 31,109.30

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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.