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Finding the Fourth Proportional to 33,378.50, 50,077.74 and 19,335.26

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Solution

The fourth proportional to 33,378.50, 50,077.74 and 19,335.26 is: 29,008.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,378.50 : 50,077.74 = 19,335.26 : x
  2. Step 2: Convert to fraction form
    33,378.50/50,077.74 = 19,335.26/x
  3. Step 3: Cross multiply
    33,378.50x = 50,077.74 × 19,335.26
  4. Step 4: Simplify right side
    33,378.50x = 968,266,123.11
  5. Step 5: Solve for x
    x = 968,266,123.11/33,378.50
  6. Step 6: Final answer
    x = 29,008.68

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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.