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Finding the Fourth Proportional to 29,683.43, 44,517.93 and 9,956.87

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Solution

The fourth proportional to 29,683.43, 44,517.93 and 9,956.87 is: 14,932.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,683.43 : 44,517.93 = 9,956.87 : x
  2. Step 2: Convert to fraction form
    29,683.43/44,517.93 = 9,956.87/x
  3. Step 3: Cross multiply
    29,683.43x = 44,517.93 × 9,956.87
  4. Step 4: Simplify right side
    29,683.43x = 443,259,019.09
  5. Step 5: Solve for x
    x = 443,259,019.09/29,683.43
  6. Step 6: Final answer
    x = 14,932.88

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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.