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Finding the Fourth Proportional to 62,946.80, 94,361.88 and 31,745.84

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Solution

The fourth proportional to 62,946.80, 94,361.88 and 31,745.84 is: 47,589.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,946.80 : 94,361.88 = 31,745.84 : x
  2. Step 2: Convert to fraction form
    62,946.80/94,361.88 = 31,745.84/x
  3. Step 3: Cross multiply
    62,946.80x = 94,361.88 × 31,745.84
  4. Step 4: Simplify right side
    62,946.80x = 2,995,597,144.58
  5. Step 5: Solve for x
    x = 2,995,597,144.58/62,946.80
  6. Step 6: Final answer
    x = 47,589.35

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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.