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Finding the Fourth Proportional to 50,384.56, 75,578.04 and 22,298.64

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Solution

The fourth proportional to 50,384.56, 75,578.04 and 22,298.64 is: 33,448.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,384.56 : 75,578.04 = 22,298.64 : x
  2. Step 2: Convert to fraction form
    50,384.56/75,578.04 = 22,298.64/x
  3. Step 3: Cross multiply
    50,384.56x = 75,578.04 × 22,298.64
  4. Step 4: Simplify right side
    50,384.56x = 1,685,287,505.87
  5. Step 5: Solve for x
    x = 1,685,287,505.87/50,384.56
  6. Step 6: Final answer
    x = 33,448.49

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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.