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Finding the Fourth Proportional to 50,378.37, 69,519.47 and 27,713.72

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Solution

The fourth proportional to 50,378.37, 69,519.47 and 27,713.72 is: 38,243.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,378.37 : 69,519.47 = 27,713.72 : x
  2. Step 2: Convert to fraction form
    50,378.37/69,519.47 = 27,713.72/x
  3. Step 3: Cross multiply
    50,378.37x = 69,519.47 × 27,713.72
  4. Step 4: Simplify right side
    50,378.37x = 1,926,642,639.96
  5. Step 5: Solve for x
    x = 1,926,642,639.96/50,378.37
  6. Step 6: Final answer
    x = 38,243.45

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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.