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Finding the Fourth Proportional to 33,073.54, 49,603.71 and 16,199.31

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Solution

The fourth proportional to 33,073.54, 49,603.71 and 16,199.31 is: 24,295.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,073.54 : 49,603.71 = 16,199.31 : x
  2. Step 2: Convert to fraction form
    33,073.54/49,603.71 = 16,199.31/x
  3. Step 3: Cross multiply
    33,073.54x = 49,603.71 × 16,199.31
  4. Step 4: Simplify right side
    33,073.54x = 803,545,875.44
  5. Step 5: Solve for x
    x = 803,545,875.44/33,073.54
  6. Step 6: Final answer
    x = 24,295.73

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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.