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Finding the Fourth Proportional to 29,930.46, 41,288.86 and 22,844.58

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Solution

The fourth proportional to 29,930.46, 41,288.86 and 22,844.58 is: 31,513.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,930.46 : 41,288.86 = 22,844.58 : x
  2. Step 2: Convert to fraction form
    29,930.46/41,288.86 = 22,844.58/x
  3. Step 3: Cross multiply
    29,930.46x = 41,288.86 × 22,844.58
  4. Step 4: Simplify right side
    29,930.46x = 943,226,665.38
  5. Step 5: Solve for x
    x = 943,226,665.38/29,930.46
  6. Step 6: Final answer
    x = 31,513.94

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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.