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Finding the Fourth Proportional to 82,762.37, 114,202.78 and 48,768.65

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Solution

The fourth proportional to 82,762.37, 114,202.78 and 48,768.65 is: 67,295.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,762.37 : 114,202.78 = 48,768.65 : x
  2. Step 2: Convert to fraction form
    82,762.37/114,202.78 = 48,768.65/x
  3. Step 3: Cross multiply
    82,762.37x = 114,202.78 × 48,768.65
  4. Step 4: Simplify right side
    82,762.37x = 5,569,515,406.85
  5. Step 5: Solve for x
    x = 5,569,515,406.85/82,762.37
  6. Step 6: Final answer
    x = 67,295.26

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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.