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Finding the Fourth Proportional to 34,196.69, 47,199.31 and 20,054.09

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Solution

The fourth proportional to 34,196.69, 47,199.31 and 20,054.09 is: 27,679.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,196.69 : 47,199.31 = 20,054.09 : x
  2. Step 2: Convert to fraction form
    34,196.69/47,199.31 = 20,054.09/x
  3. Step 3: Cross multiply
    34,196.69x = 47,199.31 × 20,054.09
  4. Step 4: Simplify right side
    34,196.69x = 946,539,210.68
  5. Step 5: Solve for x
    x = 946,539,210.68/34,196.69
  6. Step 6: Final answer
    x = 27,679.26

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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.