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Finding the Fourth Proportional to 29,954.94, 44,938.17 and 11,485.50

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Solution

The fourth proportional to 29,954.94, 44,938.17 and 11,485.50 is: 17,230.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,954.94 : 44,938.17 = 11,485.50 : x
  2. Step 2: Convert to fraction form
    29,954.94/44,938.17 = 11,485.50/x
  3. Step 3: Cross multiply
    29,954.94x = 44,938.17 × 11,485.50
  4. Step 4: Simplify right side
    29,954.94x = 516,137,351.54
  5. Step 5: Solve for x
    x = 516,137,351.54/29,954.94
  6. Step 6: Final answer
    x = 17,230.46

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Why These Related Problems?

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