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Finding the Fourth Proportional to 69,042.78, 103,583.61 and 22,299.30

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Solution

The fourth proportional to 69,042.78, 103,583.61 and 22,299.30 is: 33,455.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,042.78 : 103,583.61 = 22,299.30 : x
  2. Step 2: Convert to fraction form
    69,042.78/103,583.61 = 22,299.30/x
  3. Step 3: Cross multiply
    69,042.78x = 103,583.61 × 22,299.30
  4. Step 4: Simplify right side
    69,042.78x = 2,309,841,994.47
  5. Step 5: Solve for x
    x = 2,309,841,994.47/69,042.78
  6. Step 6: Final answer
    x = 33,455.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.