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Finding the Fourth Proportional to 54,803.62, 82,213.64 and 47,732.77

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Solution

The fourth proportional to 54,803.62, 82,213.64 and 47,732.77 is: 71,606.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,803.62 : 82,213.64 = 47,732.77 : x
  2. Step 2: Convert to fraction form
    54,803.62/82,213.64 = 47,732.77/x
  3. Step 3: Cross multiply
    54,803.62x = 82,213.64 × 47,732.77
  4. Step 4: Simplify right side
    54,803.62x = 3,924,284,768.98
  5. Step 5: Solve for x
    x = 3,924,284,768.98/54,803.62
  6. Step 6: Final answer
    x = 71,606.31

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Why These Related Problems?

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