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Finding the Fourth Proportional to 20,890.49, 31,338.66 and 6,100.49

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Solution

The fourth proportional to 20,890.49, 31,338.66 and 6,100.49 is: 9,151.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,890.49 : 31,338.66 = 6,100.49 : x
  2. Step 2: Convert to fraction form
    20,890.49/31,338.66 = 6,100.49/x
  3. Step 3: Cross multiply
    20,890.49x = 31,338.66 × 6,100.49
  4. Step 4: Simplify right side
    20,890.49x = 191,181,025.25
  5. Step 5: Solve for x
    x = 191,181,025.25/20,890.49
  6. Step 6: Final answer
    x = 9,151.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.