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Finding the Fourth Proportional to 33,177.74, 49,763.57 and 21,300.30

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Solution

The fourth proportional to 33,177.74, 49,763.57 and 21,300.30 is: 31,948.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,177.74 : 49,763.57 = 21,300.30 : x
  2. Step 2: Convert to fraction form
    33,177.74/49,763.57 = 21,300.30/x
  3. Step 3: Cross multiply
    33,177.74x = 49,763.57 × 21,300.30
  4. Step 4: Simplify right side
    33,177.74x = 1,059,978,863.57
  5. Step 5: Solve for x
    x = 1,059,978,863.57/33,177.74
  6. Step 6: Final answer
    x = 31,948.50

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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.