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Finding the Fourth Proportional to 29,959.67, 44,933.94 and 9,969.48

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Solution

The fourth proportional to 29,959.67, 44,933.94 and 9,969.48 is: 14,952.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,959.67 : 44,933.94 = 9,969.48 : x
  2. Step 2: Convert to fraction form
    29,959.67/44,933.94 = 9,969.48/x
  3. Step 3: Cross multiply
    29,959.67x = 44,933.94 × 9,969.48
  4. Step 4: Simplify right side
    29,959.67x = 447,968,016.15
  5. Step 5: Solve for x
    x = 447,968,016.15/29,959.67
  6. Step 6: Final answer
    x = 14,952.37

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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.