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Finding the Fourth Proportional to 34,109.40, 47,046.90 and 19,965.06

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Solution

The fourth proportional to 34,109.40, 47,046.90 and 19,965.06 is: 27,537.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,109.40 : 47,046.90 = 19,965.06 : x
  2. Step 2: Convert to fraction form
    34,109.40/47,046.90 = 19,965.06/x
  3. Step 3: Cross multiply
    34,109.40x = 47,046.90 × 19,965.06
  4. Step 4: Simplify right side
    34,109.40x = 939,294,181.31
  5. Step 5: Solve for x
    x = 939,294,181.31/34,109.40
  6. Step 6: Final answer
    x = 27,537.69

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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.