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Finding the Fourth Proportional to 29,274.86, 43,904.46 and 8,213.64

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Solution

The fourth proportional to 29,274.86, 43,904.46 and 8,213.64 is: 12,318.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,274.86 : 43,904.46 = 8,213.64 : x
  2. Step 2: Convert to fraction form
    29,274.86/43,904.46 = 8,213.64/x
  3. Step 3: Cross multiply
    29,274.86x = 43,904.46 × 8,213.64
  4. Step 4: Simplify right side
    29,274.86x = 360,615,428.83
  5. Step 5: Solve for x
    x = 360,615,428.83/29,274.86
  6. Step 6: Final answer
    x = 12,318.26

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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.