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Finding the Fourth Proportional to 50,448.23, 69,619.03 and 27,787.31

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Solution

The fourth proportional to 50,448.23, 69,619.03 and 27,787.31 is: 38,346.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,448.23 : 69,619.03 = 27,787.31 : x
  2. Step 2: Convert to fraction form
    50,448.23/69,619.03 = 27,787.31/x
  3. Step 3: Cross multiply
    50,448.23x = 69,619.03 × 27,787.31
  4. Step 4: Simplify right side
    50,448.23x = 1,934,525,568.51
  5. Step 5: Solve for x
    x = 1,934,525,568.51/50,448.23
  6. Step 6: Final answer
    x = 38,346.75

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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.