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Finding the Fourth Proportional to 76,140.38, 105,121.38 and 48,927.48

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Solution

The fourth proportional to 76,140.38, 105,121.38 and 48,927.48 is: 67,550.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,140.38 : 105,121.38 = 48,927.48 : x
  2. Step 2: Convert to fraction form
    76,140.38/105,121.38 = 48,927.48/x
  3. Step 3: Cross multiply
    76,140.38x = 105,121.38 × 48,927.48
  4. Step 4: Simplify right side
    76,140.38x = 5,143,324,217.52
  5. Step 5: Solve for x
    x = 5,143,324,217.52/76,140.38
  6. Step 6: Final answer
    x = 67,550.55

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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.