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Finding the Fourth Proportional to 29,933.44, 44,901.76 and 11,464

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Solution

The fourth proportional to 29,933.44, 44,901.76 and 11,464 is: 17,196.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,933.44 : 44,901.76 = 11,464 : x
  2. Step 2: Convert to fraction form
    29,933.44/44,901.76 = 11,464/x
  3. Step 3: Cross multiply
    29,933.44x = 44,901.76 × 11,464
  4. Step 4: Simplify right side
    29,933.44x = 514,753,776.64
  5. Step 5: Solve for x
    x = 514,753,776.64/29,933.44
  6. Step 6: Final answer
    x = 17,196.61

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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.