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Finding the Fourth Proportional to 29,644.08, 44,468.43 and 8,584.43

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Solution

The fourth proportional to 29,644.08, 44,468.43 and 8,584.43 is: 12,877.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,644.08 : 44,468.43 = 8,584.43 : x
  2. Step 2: Convert to fraction form
    29,644.08/44,468.43 = 8,584.43/x
  3. Step 3: Cross multiply
    29,644.08x = 44,468.43 × 8,584.43
  4. Step 4: Simplify right side
    29,644.08x = 381,736,120.15
  5. Step 5: Solve for x
    x = 381,736,120.15/29,644.08
  6. Step 6: Final answer
    x = 12,877.32

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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.