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Finding the Fourth Proportional to 50,583.29, 69,804.96 and 27,922.30

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Solution

The fourth proportional to 50,583.29, 69,804.96 and 27,922.30 is: 38,532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,583.29 : 69,804.96 = 27,922.30 : x
  2. Step 2: Convert to fraction form
    50,583.29/69,804.96 = 27,922.30/x
  3. Step 3: Cross multiply
    50,583.29x = 69,804.96 × 27,922.30
  4. Step 4: Simplify right side
    50,583.29x = 1,949,114,895.00
  5. Step 5: Solve for x
    x = 1,949,114,895.00/50,583.29
  6. Step 6: Final answer
    x = 38,532.78

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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.