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Finding the Fourth Proportional to 29,833.28, 44,721.97 and 10,098.02

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Solution

The fourth proportional to 29,833.28, 44,721.97 and 10,098.02 is: 15,137.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,833.28 : 44,721.97 = 10,098.02 : x
  2. Step 2: Convert to fraction form
    29,833.28/44,721.97 = 10,098.02/x
  3. Step 3: Cross multiply
    29,833.28x = 44,721.97 × 10,098.02
  4. Step 4: Simplify right side
    29,833.28x = 451,603,347.50
  5. Step 5: Solve for x
    x = 451,603,347.50/29,833.28
  6. Step 6: Final answer
    x = 15,137.57

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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.