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Finding the Fourth Proportional to 50,546.94, 69,754.74 and 27,885.98

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Solution

The fourth proportional to 50,546.94, 69,754.74 and 27,885.98 is: 38,482.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,546.94 : 69,754.74 = 27,885.98 : x
  2. Step 2: Convert to fraction form
    50,546.94/69,754.74 = 27,885.98/x
  3. Step 3: Cross multiply
    50,546.94x = 69,754.74 × 27,885.98
  4. Step 4: Simplify right side
    50,546.94x = 1,945,178,935.77
  5. Step 5: Solve for x
    x = 1,945,178,935.77/50,546.94
  6. Step 6: Final answer
    x = 38,482.62

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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.