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Finding the Fourth Proportional to 68,517.84, 102,835.08 and 26,994

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Solution

The fourth proportional to 68,517.84, 102,835.08 and 26,994 is: 40,513.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,517.84 : 102,835.08 = 26,994 : x
  2. Step 2: Convert to fraction form
    68,517.84/102,835.08 = 26,994/x
  3. Step 3: Cross multiply
    68,517.84x = 102,835.08 × 26,994
  4. Step 4: Simplify right side
    68,517.84x = 2,775,930,149.52
  5. Step 5: Solve for x
    x = 2,775,930,149.52/68,517.84
  6. Step 6: Final answer
    x = 40,513.98

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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.