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Finding the Fourth Proportional to 50,485.81, 69,670.91 and 27,824.84

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Solution

The fourth proportional to 50,485.81, 69,670.91 and 27,824.84 is: 38,398.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,485.81 : 69,670.91 = 27,824.84 : x
  2. Step 2: Convert to fraction form
    50,485.81/69,670.91 = 27,824.84/x
  3. Step 3: Cross multiply
    50,485.81x = 69,670.91 × 27,824.84
  4. Step 4: Simplify right side
    50,485.81x = 1,938,581,958.46
  5. Step 5: Solve for x
    x = 1,938,581,958.46/50,485.81
  6. Step 6: Final answer
    x = 38,398.55

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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.