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Finding the Fourth Proportional to 68,393.94, 102,609.72 and 24,014.82

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Solution

The fourth proportional to 68,393.94, 102,609.72 and 24,014.82 is: 36,028.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,393.94 : 102,609.72 = 24,014.82 : x
  2. Step 2: Convert to fraction form
    68,393.94/102,609.72 = 24,014.82/x
  3. Step 3: Cross multiply
    68,393.94x = 102,609.72 × 24,014.82
  4. Step 4: Simplify right side
    68,393.94x = 2,464,153,956.05
  5. Step 5: Solve for x
    x = 2,464,153,956.05/68,393.94
  6. Step 6: Final answer
    x = 36,028.83

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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.