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Finding the Fourth Proportional to 32,771, 49,156.50 and 10,883

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Solution

The fourth proportional to 32,771, 49,156.50 and 10,883 is: 16,324.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,771 : 49,156.50 = 10,883 : x
  2. Step 2: Convert to fraction form
    32,771/49,156.50 = 10,883/x
  3. Step 3: Cross multiply
    32,771x = 49,156.50 × 10,883
  4. Step 4: Simplify right side
    32,771x = 534,970,189.50
  5. Step 5: Solve for x
    x = 534,970,189.50/32,771
  6. Step 6: Final answer
    x = 16,324.50

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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.