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Finding the Fourth Proportional to 29,307, 43,967.46 and 9,585.54

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Solution

The fourth proportional to 29,307, 43,967.46 and 9,585.54 is: 14,380.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,307 : 43,967.46 = 9,585.54 : x
  2. Step 2: Convert to fraction form
    29,307/43,967.46 = 9,585.54/x
  3. Step 3: Cross multiply
    29,307x = 43,967.46 × 9,585.54
  4. Step 4: Simplify right side
    29,307x = 421,451,846.53
  5. Step 5: Solve for x
    x = 421,451,846.53/29,307
  6. Step 6: Final answer
    x = 14,380.59

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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.