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Finding the Fourth Proportional to 50,203.80, 75,301.62 and 16,923.15

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Solution

The fourth proportional to 50,203.80, 75,301.62 and 16,923.15 is: 25,383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,203.80 : 75,301.62 = 16,923.15 : x
  2. Step 2: Convert to fraction form
    50,203.80/75,301.62 = 16,923.15/x
  3. Step 3: Cross multiply
    50,203.80x = 75,301.62 × 16,923.15
  4. Step 4: Simplify right side
    50,203.80x = 1,274,340,610.50
  5. Step 5: Solve for x
    x = 1,274,340,610.50/50,203.80
  6. Step 6: Final answer
    x = 25,383.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.