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Finding the Fourth Proportional to 34,523.32, 51,774 and 11,144.32

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Solution

The fourth proportional to 34,523.32, 51,774 and 11,144.32 is: 16,712.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,523.32 : 51,774 = 11,144.32 : x
  2. Step 2: Convert to fraction form
    34,523.32/51,774 = 11,144.32/x
  3. Step 3: Cross multiply
    34,523.32x = 51,774 × 11,144.32
  4. Step 4: Simplify right side
    34,523.32x = 576,986,023.68
  5. Step 5: Solve for x
    x = 576,986,023.68/34,523.32
  6. Step 6: Final answer
    x = 16,712.94

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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.