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Finding the Fourth Proportional to 50,441.44, 69,606.48 and 28,084

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Solution

The fourth proportional to 50,441.44, 69,606.48 and 28,084 is: 38,754.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,441.44 : 69,606.48 = 28,084 : x
  2. Step 2: Convert to fraction form
    50,441.44/69,606.48 = 28,084/x
  3. Step 3: Cross multiply
    50,441.44x = 69,606.48 × 28,084
  4. Step 4: Simplify right side
    50,441.44x = 1,954,828,384.32
  5. Step 5: Solve for x
    x = 1,954,828,384.32/50,441.44
  6. Step 6: Final answer
    x = 38,754.41

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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.