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Finding the Fourth Proportional to 30,378.65, 41,917.50 and 20,290.91

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Solution

The fourth proportional to 30,378.65, 41,917.50 and 20,290.91 is: 27,998.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.65 : 41,917.50 = 20,290.91 : x
  2. Step 2: Convert to fraction form
    30,378.65/41,917.50 = 20,290.91/x
  3. Step 3: Cross multiply
    30,378.65x = 41,917.50 × 20,290.91
  4. Step 4: Simplify right side
    30,378.65x = 850,544,010.34
  5. Step 5: Solve for x
    x = 850,544,010.34/30,378.65
  6. Step 6: Final answer
    x = 27,998.09

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