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Finding the Fourth Proportional to 38,540.17, 53,194.01 and 23,429.63

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Solution

The fourth proportional to 38,540.17, 53,194.01 and 23,429.63 is: 32,338.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,540.17 : 53,194.01 = 23,429.63 : x
  2. Step 2: Convert to fraction form
    38,540.17/53,194.01 = 23,429.63/x
  3. Step 3: Cross multiply
    38,540.17x = 53,194.01 × 23,429.63
  4. Step 4: Simplify right side
    38,540.17x = 1,246,315,589.40
  5. Step 5: Solve for x
    x = 1,246,315,589.40/38,540.17
  6. Step 6: Final answer
    x = 32,338.09

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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.