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Finding the Fourth Proportional to 50,018.94, 69,023.43 and 27,661.50

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Solution

The fourth proportional to 50,018.94, 69,023.43 and 27,661.50 is: 38,171.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,018.94 : 69,023.43 = 27,661.50 : x
  2. Step 2: Convert to fraction form
    50,018.94/69,023.43 = 27,661.50/x
  3. Step 3: Cross multiply
    50,018.94x = 69,023.43 × 27,661.50
  4. Step 4: Simplify right side
    50,018.94x = 1,909,291,608.95
  5. Step 5: Solve for x
    x = 1,909,291,608.95/50,018.94
  6. Step 6: Final answer
    x = 38,171.37

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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.