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Finding the Fourth Proportional to 35,930.17, 49,224.56 and 34,583.40

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Solution

The fourth proportional to 35,930.17, 49,224.56 and 34,583.40 is: 47,379.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,930.17 : 49,224.56 = 34,583.40 : x
  2. Step 2: Convert to fraction form
    35,930.17/49,224.56 = 34,583.40/x
  3. Step 3: Cross multiply
    35,930.17x = 49,224.56 × 34,583.40
  4. Step 4: Simplify right side
    35,930.17x = 1,702,352,648.30
  5. Step 5: Solve for x
    x = 1,702,352,648.30/35,930.17
  6. Step 6: Final answer
    x = 47,379.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.