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Finding the Fourth Proportional to 23,945, 35,917.50 and 7,529

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Solution

The fourth proportional to 23,945, 35,917.50 and 7,529 is: 11,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,945 : 35,917.50 = 7,529 : x
  2. Step 2: Convert to fraction form
    23,945/35,917.50 = 7,529/x
  3. Step 3: Cross multiply
    23,945x = 35,917.50 × 7,529
  4. Step 4: Simplify right side
    23,945x = 270,422,857.50
  5. Step 5: Solve for x
    x = 270,422,857.50/23,945
  6. Step 6: Final answer
    x = 11,293.50

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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.