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Finding the Fourth Proportional to 71,699.44, 107,468.52 and 34,789.36

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Solution

The fourth proportional to 71,699.44, 107,468.52 and 34,789.36 is: 52,144.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,699.44 : 107,468.52 = 34,789.36 : x
  2. Step 2: Convert to fraction form
    71,699.44/107,468.52 = 34,789.36/x
  3. Step 3: Cross multiply
    71,699.44x = 107,468.52 × 34,789.36
  4. Step 4: Simplify right side
    71,699.44x = 3,738,761,030.95
  5. Step 5: Solve for x
    x = 3,738,761,030.95/71,699.44
  6. Step 6: Final answer
    x = 52,144.91

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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.