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Finding the Fourth Proportional to 33,141.71, 49,687.73 and 19,991.00

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Solution

The fourth proportional to 33,141.71, 49,687.73 and 19,991.00 is: 29,971.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,141.71 : 49,687.73 = 19,991.00 : x
  2. Step 2: Convert to fraction form
    33,141.71/49,687.73 = 19,991.00/x
  3. Step 3: Cross multiply
    33,141.71x = 49,687.73 × 19,991.00
  4. Step 4: Simplify right side
    33,141.71x = 993,307,509.66
  5. Step 5: Solve for x
    x = 993,307,509.66/33,141.71
  6. Step 6: Final answer
    x = 29,971.53

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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.