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Finding the Fourth Proportional to 68,314.10, 102,361.80 and 44,913.20

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Solution

The fourth proportional to 68,314.10, 102,361.80 and 44,913.20 is: 67,297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,314.10 : 102,361.80 = 44,913.20 : x
  2. Step 2: Convert to fraction form
    68,314.10/102,361.80 = 44,913.20/x
  3. Step 3: Cross multiply
    68,314.10x = 102,361.80 × 44,913.20
  4. Step 4: Simplify right side
    68,314.10x = 4,597,395,995.76
  5. Step 5: Solve for x
    x = 4,597,395,995.76/68,314.10
  6. Step 6: Final answer
    x = 67,297.91

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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.