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Finding the Fourth Proportional to 34,109.89, 47,071.62 and 19,205.89

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Solution

The fourth proportional to 34,109.89, 47,071.62 and 19,205.89 is: 26,504.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,109.89 : 47,071.62 = 19,205.89 : x
  2. Step 2: Convert to fraction form
    34,109.89/47,071.62 = 19,205.89/x
  3. Step 3: Cross multiply
    34,109.89x = 47,071.62 × 19,205.89
  4. Step 4: Simplify right side
    34,109.89x = 904,052,355.84
  5. Step 5: Solve for x
    x = 904,052,355.84/34,109.89
  6. Step 6: Final answer
    x = 26,504.11

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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.