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Finding the Fourth Proportional to 50,583.99, 69,809.76 and 27,927.36

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Solution

The fourth proportional to 50,583.99, 69,809.76 and 27,927.36 is: 38,541.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,583.99 : 69,809.76 = 27,927.36 : x
  2. Step 2: Convert to fraction form
    50,583.99/69,809.76 = 27,927.36/x
  3. Step 3: Cross multiply
    50,583.99x = 69,809.76 × 27,927.36
  4. Step 4: Simplify right side
    50,583.99x = 1,949,602,299.03
  5. Step 5: Solve for x
    x = 1,949,602,299.03/50,583.99
  6. Step 6: Final answer
    x = 38,541.88

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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.