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Finding the Fourth Proportional to 29,188.70, 43,784.06 and 9,467.43

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Solution

The fourth proportional to 29,188.70, 43,784.06 and 9,467.43 is: 14,201.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,188.70 : 43,784.06 = 9,467.43 : x
  2. Step 2: Convert to fraction form
    29,188.70/43,784.06 = 9,467.43/x
  3. Step 3: Cross multiply
    29,188.70x = 43,784.06 × 9,467.43
  4. Step 4: Simplify right side
    29,188.70x = 414,522,475.83
  5. Step 5: Solve for x
    x = 414,522,475.83/29,188.70
  6. Step 6: Final answer
    x = 14,201.47

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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.