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Finding the Fourth Proportional to 33,007.19, 49,509.96 and 9,633.83

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Solution

The fourth proportional to 33,007.19, 49,509.96 and 9,633.83 is: 14,450.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,007.19 : 49,509.96 = 9,633.83 : x
  2. Step 2: Convert to fraction form
    33,007.19/49,509.96 = 9,633.83/x
  3. Step 3: Cross multiply
    33,007.19x = 49,509.96 × 9,633.83
  4. Step 4: Simplify right side
    33,007.19x = 476,970,537.95
  5. Step 5: Solve for x
    x = 476,970,537.95/33,007.19
  6. Step 6: Final answer
    x = 14,450.50

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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.