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Finding the Fourth Proportional to 29,892, 41,262.24 and 23,501.92

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Solution

The fourth proportional to 29,892, 41,262.24 and 23,501.92 is: 32,441.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,892 : 41,262.24 = 23,501.92 : x
  2. Step 2: Convert to fraction form
    29,892/41,262.24 = 23,501.92/x
  3. Step 3: Cross multiply
    29,892x = 41,262.24 × 23,501.92
  4. Step 4: Simplify right side
    29,892x = 969,741,863.50
  5. Step 5: Solve for x
    x = 969,741,863.50/29,892
  6. Step 6: Final answer
    x = 32,441.52

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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.