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Finding the Fourth Proportional to 68,942.88, 103,388.78 and 24,557.84

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Solution

The fourth proportional to 68,942.88, 103,388.78 and 24,557.84 is: 36,827.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,942.88 : 103,388.78 = 24,557.84 : x
  2. Step 2: Convert to fraction form
    68,942.88/103,388.78 = 24,557.84/x
  3. Step 3: Cross multiply
    68,942.88x = 103,388.78 × 24,557.84
  4. Step 4: Simplify right side
    68,942.88x = 2,539,005,117.04
  5. Step 5: Solve for x
    x = 2,539,005,117.04/68,942.88
  6. Step 6: Final answer
    x = 36,827.66

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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.