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Finding the Fourth Proportional to 33,463.38, 46,178.62 and 19,122.30

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Solution

The fourth proportional to 33,463.38, 46,178.62 and 19,122.30 is: 26,388.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,463.38 : 46,178.62 = 19,122.30 : x
  2. Step 2: Convert to fraction form
    33,463.38/46,178.62 = 19,122.30/x
  3. Step 3: Cross multiply
    33,463.38x = 46,178.62 × 19,122.30
  4. Step 4: Simplify right side
    33,463.38x = 883,041,425.23
  5. Step 5: Solve for x
    x = 883,041,425.23/33,463.38
  6. Step 6: Final answer
    x = 26,388.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.