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Finding the Fourth Proportional to 68,237.50, 102,342.14 and 18,305.76

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Solution

The fourth proportional to 68,237.50, 102,342.14 and 18,305.76 is: 27,454.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,237.50 : 102,342.14 = 18,305.76 : x
  2. Step 2: Convert to fraction form
    68,237.50/102,342.14 = 18,305.76/x
  3. Step 3: Cross multiply
    68,237.50x = 102,342.14 × 18,305.76
  4. Step 4: Simplify right side
    68,237.50x = 1,873,450,561.20
  5. Step 5: Solve for x
    x = 1,873,450,561.20/68,237.50
  6. Step 6: Final answer
    x = 27,454.85

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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.