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Finding the Fourth Proportional to 47,677.96, 71,513.56 and 12,616.84

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Solution

The fourth proportional to 47,677.96, 71,513.56 and 12,616.84 is: 18,924.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,677.96 : 71,513.56 = 12,616.84 : x
  2. Step 2: Convert to fraction form
    47,677.96/71,513.56 = 12,616.84/x
  3. Step 3: Cross multiply
    47,677.96x = 71,513.56 × 12,616.84
  4. Step 4: Simplify right side
    47,677.96x = 902,275,144.35
  5. Step 5: Solve for x
    x = 902,275,144.35/47,677.96
  6. Step 6: Final answer
    x = 18,924.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.