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Finding the Fourth Proportional to 29,542.38, 40,768.48 and 18,946.36

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Solution

The fourth proportional to 29,542.38, 40,768.48 and 18,946.36 is: 26,145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,542.38 : 40,768.48 = 18,946.36 : x
  2. Step 2: Convert to fraction form
    29,542.38/40,768.48 = 18,946.36/x
  3. Step 3: Cross multiply
    29,542.38x = 40,768.48 × 18,946.36
  4. Step 4: Simplify right side
    29,542.38x = 772,414,298.73
  5. Step 5: Solve for x
    x = 772,414,298.73/29,542.38
  6. Step 6: Final answer
    x = 26,145.97

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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.