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Finding the Fourth Proportional to 172,861, 259,291.50 and 41,533

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Solution

The fourth proportional to 172,861, 259,291.50 and 41,533 is: 62,299.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,861 : 259,291.50 = 41,533 : x
  2. Step 2: Convert to fraction form
    172,861/259,291.50 = 41,533/x
  3. Step 3: Cross multiply
    172,861x = 259,291.50 × 41,533
  4. Step 4: Simplify right side
    172,861x = 10,769,153,869.50
  5. Step 5: Solve for x
    x = 10,769,153,869.50/172,861
  6. Step 6: Final answer
    x = 62,299.50

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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.