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Finding the Fourth Proportional to 29,938.29, 44,912.06 and 10,212.24

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Solution

The fourth proportional to 29,938.29, 44,912.06 and 10,212.24 is: 15,319.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,938.29 : 44,912.06 = 10,212.24 : x
  2. Step 2: Convert to fraction form
    29,938.29/44,912.06 = 10,212.24/x
  3. Step 3: Cross multiply
    29,938.29x = 44,912.06 × 10,212.24
  4. Step 4: Simplify right side
    29,938.29x = 458,652,684.55
  5. Step 5: Solve for x
    x = 458,652,684.55/29,938.29
  6. Step 6: Final answer
    x = 15,319.94

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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.