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Finding the Fourth Proportional to 34,581.78, 47,622.42 and 30,042.39

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Solution

The fourth proportional to 34,581.78, 47,622.42 and 30,042.39 is: 41,371.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,581.78 : 47,622.42 = 30,042.39 : x
  2. Step 2: Convert to fraction form
    34,581.78/47,622.42 = 30,042.39/x
  3. Step 3: Cross multiply
    34,581.78x = 47,622.42 × 30,042.39
  4. Step 4: Simplify right side
    34,581.78x = 1,430,691,314.38
  5. Step 5: Solve for x
    x = 1,430,691,314.38/34,581.78
  6. Step 6: Final answer
    x = 41,371.25

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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.