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Finding the Fourth Proportional to 33,301.72, 45,964.02 and 23,251.24

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Solution

The fourth proportional to 33,301.72, 45,964.02 and 23,251.24 is: 32,092.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,301.72 : 45,964.02 = 23,251.24 : x
  2. Step 2: Convert to fraction form
    33,301.72/45,964.02 = 23,251.24/x
  3. Step 3: Cross multiply
    33,301.72x = 45,964.02 × 23,251.24
  4. Step 4: Simplify right side
    33,301.72x = 1,068,720,460.38
  5. Step 5: Solve for x
    x = 1,068,720,460.38/33,301.72
  6. Step 6: Final answer
    x = 32,092.05

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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.