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Finding the Fourth Proportional to 29,309.96, 43,964.34 and 7,123.46

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Solution

The fourth proportional to 29,309.96, 43,964.34 and 7,123.46 is: 10,685.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,309.96 : 43,964.34 = 7,123.46 : x
  2. Step 2: Convert to fraction form
    29,309.96/43,964.34 = 7,123.46/x
  3. Step 3: Cross multiply
    29,309.96x = 43,964.34 × 7,123.46
  4. Step 4: Simplify right side
    29,309.96x = 313,178,217.42
  5. Step 5: Solve for x
    x = 313,178,217.42/29,309.96
  6. Step 6: Final answer
    x = 10,685.04

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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.