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Finding the Fourth Proportional to 34,125.49, 47,094.78 and 19,982.89

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Solution

The fourth proportional to 34,125.49, 47,094.78 and 19,982.89 is: 27,577.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,125.49 : 47,094.78 = 19,982.89 : x
  2. Step 2: Convert to fraction form
    34,125.49/47,094.78 = 19,982.89/x
  3. Step 3: Cross multiply
    34,125.49x = 47,094.78 × 19,982.89
  4. Step 4: Simplify right side
    34,125.49x = 941,089,808.31
  5. Step 5: Solve for x
    x = 941,089,808.31/34,125.49
  6. Step 6: Final answer
    x = 27,577.33

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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.