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Finding the Fourth Proportional to 33,852.24, 46,709.88 and 19,509.48

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Solution

The fourth proportional to 33,852.24, 46,709.88 and 19,509.48 is: 26,919.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,852.24 : 46,709.88 = 19,509.48 : x
  2. Step 2: Convert to fraction form
    33,852.24/46,709.88 = 19,509.48/x
  3. Step 3: Cross multiply
    33,852.24x = 46,709.88 × 19,509.48
  4. Step 4: Simplify right side
    33,852.24x = 911,285,469.66
  5. Step 5: Solve for x
    x = 911,285,469.66/33,852.24
  6. Step 6: Final answer
    x = 26,919.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.