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Finding the Fourth Proportional to 29,149.94, 43,702.69 and 9,147.90

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Solution

The fourth proportional to 29,149.94, 43,702.69 and 9,147.90 is: 13,714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,149.94 : 43,702.69 = 9,147.90 : x
  2. Step 2: Convert to fraction form
    29,149.94/43,702.69 = 9,147.90/x
  3. Step 3: Cross multiply
    29,149.94x = 43,702.69 × 9,147.90
  4. Step 4: Simplify right side
    29,149.94x = 399,787,728.59
  5. Step 5: Solve for x
    x = 399,787,728.59/29,149.94
  6. Step 6: Final answer
    x = 13,714.87

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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.