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Finding the Fourth Proportional to 86,471.55, 119,315.43 and 48,745.80

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Solution

The fourth proportional to 86,471.55, 119,315.43 and 48,745.80 is: 67,260.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,471.55 : 119,315.43 = 48,745.80 : x
  2. Step 2: Convert to fraction form
    86,471.55/119,315.43 = 48,745.80/x
  3. Step 3: Cross multiply
    86,471.55x = 119,315.43 × 48,745.80
  4. Step 4: Simplify right side
    86,471.55x = 5,816,126,087.69
  5. Step 5: Solve for x
    x = 5,816,126,087.69/86,471.55
  6. Step 6: Final answer
    x = 67,260.57

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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.