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Finding the Fourth Proportional to 34,771.49, 47,984.34 and 19,667.12

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Solution

The fourth proportional to 34,771.49, 47,984.34 and 19,667.12 is: 27,140.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,771.49 : 47,984.34 = 19,667.12 : x
  2. Step 2: Convert to fraction form
    34,771.49/47,984.34 = 19,667.12/x
  3. Step 3: Cross multiply
    34,771.49x = 47,984.34 × 19,667.12
  4. Step 4: Simplify right side
    34,771.49x = 943,713,772.90
  5. Step 5: Solve for x
    x = 943,713,772.90/34,771.49
  6. Step 6: Final answer
    x = 27,140.45

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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.