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Finding the Fourth Proportional to 29,307.75, 43,961.02 and 7,121.24

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Solution

The fourth proportional to 29,307.75, 43,961.02 and 7,121.24 is: 10,681.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,307.75 : 43,961.02 = 7,121.24 : x
  2. Step 2: Convert to fraction form
    29,307.75/43,961.02 = 7,121.24/x
  3. Step 3: Cross multiply
    29,307.75x = 43,961.02 × 7,121.24
  4. Step 4: Simplify right side
    29,307.75x = 313,056,974.06
  5. Step 5: Solve for x
    x = 313,056,974.06/29,307.75
  6. Step 6: Final answer
    x = 10,681.71

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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.