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Finding the Fourth Proportional to 33,440.82, 49,866.48 and 33,141.03

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Solution

The fourth proportional to 33,440.82, 49,866.48 and 33,141.03 is: 49,419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,440.82 : 49,866.48 = 33,141.03 : x
  2. Step 2: Convert to fraction form
    33,440.82/49,866.48 = 33,141.03/x
  3. Step 3: Cross multiply
    33,440.82x = 49,866.48 × 33,141.03
  4. Step 4: Simplify right side
    33,440.82x = 1,652,626,509.67
  5. Step 5: Solve for x
    x = 1,652,626,509.67/33,440.82
  6. Step 6: Final answer
    x = 49,419.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.