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Finding the Fourth Proportional to 34,068.82, 51,105.78 and 9,108.31

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Solution

The fourth proportional to 34,068.82, 51,105.78 and 9,108.31 is: 13,663.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,068.82 : 51,105.78 = 9,108.31 : x
  2. Step 2: Convert to fraction form
    34,068.82/51,105.78 = 9,108.31/x
  3. Step 3: Cross multiply
    34,068.82x = 51,105.78 × 9,108.31
  4. Step 4: Simplify right side
    34,068.82x = 465,487,287.03
  5. Step 5: Solve for x
    x = 465,487,287.03/34,068.82
  6. Step 6: Final answer
    x = 13,663.15

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