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Finding the Fourth Proportional to 68,894.93, 103,342.94 and 18,977.78

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Solution

The fourth proportional to 68,894.93, 103,342.94 and 18,977.78 is: 28,466.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,894.93 : 103,342.94 = 18,977.78 : x
  2. Step 2: Convert to fraction form
    68,894.93/103,342.94 = 18,977.78/x
  3. Step 3: Cross multiply
    68,894.93x = 103,342.94 × 18,977.78
  4. Step 4: Simplify right side
    68,894.93x = 1,961,218,968.27
  5. Step 5: Solve for x
    x = 1,961,218,968.27/68,894.93
  6. Step 6: Final answer
    x = 28,466.81

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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.