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Finding the Fourth Proportional to 29,969.58, 44,974.41 and 12,439.41

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Solution

The fourth proportional to 29,969.58, 44,974.41 and 12,439.41 is: 18,667.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,969.58 : 44,974.41 = 12,439.41 : x
  2. Step 2: Convert to fraction form
    29,969.58/44,974.41 = 12,439.41/x
  3. Step 3: Cross multiply
    29,969.58x = 44,974.41 × 12,439.41
  4. Step 4: Simplify right side
    29,969.58x = 559,455,125.50
  5. Step 5: Solve for x
    x = 559,455,125.50/29,969.58
  6. Step 6: Final answer
    x = 18,667.43

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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.