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Finding the Fourth Proportional to 33,295.32, 49,932 and 11,102.58

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Solution

The fourth proportional to 33,295.32, 49,932 and 11,102.58 is: 16,650.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,295.32 : 49,932 = 11,102.58 : x
  2. Step 2: Convert to fraction form
    33,295.32/49,932 = 11,102.58/x
  3. Step 3: Cross multiply
    33,295.32x = 49,932 × 11,102.58
  4. Step 4: Simplify right side
    33,295.32x = 554,374,024.56
  5. Step 5: Solve for x
    x = 554,374,024.56/33,295.32
  6. Step 6: Final answer
    x = 16,650.21

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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.