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Finding the Fourth Proportional to 82,752.75, 114,200.64 and 45,027

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Solution

The fourth proportional to 82,752.75, 114,200.64 and 45,027 is: 62,138.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,752.75 : 114,200.64 = 45,027 : x
  2. Step 2: Convert to fraction form
    82,752.75/114,200.64 = 45,027/x
  3. Step 3: Cross multiply
    82,752.75x = 114,200.64 × 45,027
  4. Step 4: Simplify right side
    82,752.75x = 5,142,112,217.28
  5. Step 5: Solve for x
    x = 5,142,112,217.28/82,752.75
  6. Step 6: Final answer
    x = 62,138.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.