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Finding the Fourth Proportional to 29,309.89, 43,964.86 and 7,123.12

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Solution

The fourth proportional to 29,309.89, 43,964.86 and 7,123.12 is: 10,684.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,309.89 : 43,964.86 = 7,123.12 : x
  2. Step 2: Convert to fraction form
    29,309.89/43,964.86 = 7,123.12/x
  3. Step 3: Cross multiply
    29,309.89x = 43,964.86 × 7,123.12
  4. Step 4: Simplify right side
    29,309.89x = 313,166,845.84
  5. Step 5: Solve for x
    x = 313,166,845.84/29,309.89
  6. Step 6: Final answer
    x = 10,684.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.