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Finding the Fourth Proportional to 68,035.98, 102,053.72 and 18,116.08

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Solution

The fourth proportional to 68,035.98, 102,053.72 and 18,116.08 is: 27,174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,035.98 : 102,053.72 = 18,116.08 : x
  2. Step 2: Convert to fraction form
    68,035.98/102,053.72 = 18,116.08/x
  3. Step 3: Cross multiply
    68,035.98x = 102,053.72 × 18,116.08
  4. Step 4: Simplify right side
    68,035.98x = 1,848,813,355.82
  5. Step 5: Solve for x
    x = 1,848,813,355.82/68,035.98
  6. Step 6: Final answer
    x = 27,174.05

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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.