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Finding the Fourth Proportional to 29,954.52, 44,931.78 and 10,233.24

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Solution

The fourth proportional to 29,954.52, 44,931.78 and 10,233.24 is: 15,349.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,954.52 : 44,931.78 = 10,233.24 : x
  2. Step 2: Convert to fraction form
    29,954.52/44,931.78 = 10,233.24/x
  3. Step 3: Cross multiply
    29,954.52x = 44,931.78 × 10,233.24
  4. Step 4: Simplify right side
    29,954.52x = 459,797,688.37
  5. Step 5: Solve for x
    x = 459,797,688.37/29,954.52
  6. Step 6: Final answer
    x = 15,349.86

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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.