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Finding the Fourth Proportional to 68,058.28, 102,098.31 and 23,697.64

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Solution

The fourth proportional to 68,058.28, 102,098.31 and 23,697.64 is: 35,550.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,058.28 : 102,098.31 = 23,697.64 : x
  2. Step 2: Convert to fraction form
    68,058.28/102,098.31 = 23,697.64/x
  3. Step 3: Cross multiply
    68,058.28x = 102,098.31 × 23,697.64
  4. Step 4: Simplify right side
    68,058.28x = 2,419,488,994.99
  5. Step 5: Solve for x
    x = 2,419,488,994.99/68,058.28
  6. Step 6: Final answer
    x = 35,550.25

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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.