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Finding the Fourth Proportional to 33,006.03, 49,509 and 13,279.95

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Solution

The fourth proportional to 33,006.03, 49,509 and 13,279.95 is: 19,919.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,006.03 : 49,509 = 13,279.95 : x
  2. Step 2: Convert to fraction form
    33,006.03/49,509 = 13,279.95/x
  3. Step 3: Cross multiply
    33,006.03x = 49,509 × 13,279.95
  4. Step 4: Simplify right side
    33,006.03x = 657,477,044.55
  5. Step 5: Solve for x
    x = 657,477,044.55/33,006.03
  6. Step 6: Final answer
    x = 19,919.91

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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.