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Finding the Fourth Proportional to 72,974.58, 109,297.84 and 44,434.23

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Solution

The fourth proportional to 72,974.58, 109,297.84 and 44,434.23 is: 66,551.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,974.58 : 109,297.84 = 44,434.23 : x
  2. Step 2: Convert to fraction form
    72,974.58/109,297.84 = 44,434.23/x
  3. Step 3: Cross multiply
    72,974.58x = 109,297.84 × 44,434.23
  4. Step 4: Simplify right side
    72,974.58x = 4,856,565,361.06
  5. Step 5: Solve for x
    x = 4,856,565,361.06/72,974.58
  6. Step 6: Final answer
    x = 66,551.47

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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.