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Finding the Fourth Proportional to 50,346.55, 69,475.87 and 27,686.50

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Solution

The fourth proportional to 50,346.55, 69,475.87 and 27,686.50 is: 38,206.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,346.55 : 69,475.87 = 27,686.50 : x
  2. Step 2: Convert to fraction form
    50,346.55/69,475.87 = 27,686.50/x
  3. Step 3: Cross multiply
    50,346.55x = 69,475.87 × 27,686.50
  4. Step 4: Simplify right side
    50,346.55x = 1,923,543,379.94
  5. Step 5: Solve for x
    x = 1,923,543,379.94/50,346.55
  6. Step 6: Final answer
    x = 38,206.06

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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.