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Finding the Fourth Proportional to 30,051.38, 41,456.94 and 19,444.44

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Solution

The fourth proportional to 30,051.38, 41,456.94 and 19,444.44 is: 26,824.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,051.38 : 41,456.94 = 19,444.44 : x
  2. Step 2: Convert to fraction form
    30,051.38/41,456.94 = 19,444.44/x
  3. Step 3: Cross multiply
    30,051.38x = 41,456.94 × 19,444.44
  4. Step 4: Simplify right side
    30,051.38x = 806,106,982.41
  5. Step 5: Solve for x
    x = 806,106,982.41/30,051.38
  6. Step 6: Final answer
    x = 26,824.29

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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.