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Finding the Fourth Proportional to 50,199.49, 69,276.22 and 27,539.64

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Solution

The fourth proportional to 50,199.49, 69,276.22 and 27,539.64 is: 38,005.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,199.49 : 69,276.22 = 27,539.64 : x
  2. Step 2: Convert to fraction form
    50,199.49/69,276.22 = 27,539.64/x
  3. Step 3: Cross multiply
    50,199.49x = 69,276.22 × 27,539.64
  4. Step 4: Simplify right side
    50,199.49x = 1,907,842,090.51
  5. Step 5: Solve for x
    x = 1,907,842,090.51/50,199.49
  6. Step 6: Final answer
    x = 38,005.21

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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.