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Finding the Fourth Proportional to 38,072.10, 56,998.80 and 33,698.10

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Solution

The fourth proportional to 38,072.10, 56,998.80 and 33,698.10 is: 50,450.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,072.10 : 56,998.80 = 33,698.10 : x
  2. Step 2: Convert to fraction form
    38,072.10/56,998.80 = 33,698.10/x
  3. Step 3: Cross multiply
    38,072.10x = 56,998.80 × 33,698.10
  4. Step 4: Simplify right side
    38,072.10x = 1,920,751,262.28
  5. Step 5: Solve for x
    x = 1,920,751,262.28/38,072.10
  6. Step 6: Final answer
    x = 50,450.36

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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.