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Finding the Fourth Proportional to 68,117.76, 102,118.32 and 44,692.56

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Solution

The fourth proportional to 68,117.76, 102,118.32 and 44,692.56 is: 67,000.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,117.76 : 102,118.32 = 44,692.56 : x
  2. Step 2: Convert to fraction form
    68,117.76/102,118.32 = 44,692.56/x
  3. Step 3: Cross multiply
    68,117.76x = 102,118.32 × 44,692.56
  4. Step 4: Simplify right side
    68,117.76x = 4,563,929,143.70
  5. Step 5: Solve for x
    x = 4,563,929,143.70/68,117.76
  6. Step 6: Final answer
    x = 67,000.58

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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.