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Finding the Fourth Proportional to 29,467.50, 44,142.12 and 14,631.54

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Solution

The fourth proportional to 29,467.50, 44,142.12 and 14,631.54 is: 21,917.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,467.50 : 44,142.12 = 14,631.54 : x
  2. Step 2: Convert to fraction form
    29,467.50/44,142.12 = 14,631.54/x
  3. Step 3: Cross multiply
    29,467.50x = 44,142.12 × 14,631.54
  4. Step 4: Simplify right side
    29,467.50x = 645,867,194.46
  5. Step 5: Solve for x
    x = 645,867,194.46/29,467.50
  6. Step 6: Final answer
    x = 21,917.95

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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.