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Finding the Fourth Proportional to 29,846.25, 44,769.39 and 7,659.63

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Solution

The fourth proportional to 29,846.25, 44,769.39 and 7,659.63 is: 11,489.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,846.25 : 44,769.39 = 7,659.63 : x
  2. Step 2: Convert to fraction form
    29,846.25/44,769.39 = 7,659.63/x
  3. Step 3: Cross multiply
    29,846.25x = 44,769.39 × 7,659.63
  4. Step 4: Simplify right side
    29,846.25x = 342,916,962.73
  5. Step 5: Solve for x
    x = 342,916,962.73/29,846.25
  6. Step 6: Final answer
    x = 11,489.45

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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.