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Finding the Fourth Proportional to 54,807.70, 82,114.35 and 44,893.30

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Solution

The fourth proportional to 54,807.70, 82,114.35 and 44,893.30 is: 67,260.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,807.70 : 82,114.35 = 44,893.30 : x
  2. Step 2: Convert to fraction form
    54,807.70/82,114.35 = 44,893.30/x
  3. Step 3: Cross multiply
    54,807.70x = 82,114.35 × 44,893.30
  4. Step 4: Simplify right side
    54,807.70x = 3,686,384,148.86
  5. Step 5: Solve for x
    x = 3,686,384,148.86/54,807.70
  6. Step 6: Final answer
    x = 67,260.33

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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.