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Finding the Fourth Proportional to 115,533, 173,299.50 and 41,661

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Solution

The fourth proportional to 115,533, 173,299.50 and 41,661 is: 62,491.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,533 : 173,299.50 = 41,661 : x
  2. Step 2: Convert to fraction form
    115,533/173,299.50 = 41,661/x
  3. Step 3: Cross multiply
    115,533x = 173,299.50 × 41,661
  4. Step 4: Simplify right side
    115,533x = 7,219,830,469.50
  5. Step 5: Solve for x
    x = 7,219,830,469.50/115,533
  6. Step 6: Final answer
    x = 62,491.50

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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.