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Finding the Fourth Proportional to 50,350.48, 69,485.64 and 27,994

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Solution

The fourth proportional to 50,350.48, 69,485.64 and 27,994 is: 38,632.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,350.48 : 69,485.64 = 27,994 : x
  2. Step 2: Convert to fraction form
    50,350.48/69,485.64 = 27,994/x
  3. Step 3: Cross multiply
    50,350.48x = 69,485.64 × 27,994
  4. Step 4: Simplify right side
    50,350.48x = 1,945,181,006.16
  5. Step 5: Solve for x
    x = 1,945,181,006.16/50,350.48
  6. Step 6: Final answer
    x = 38,632.82

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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.