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Finding the Fourth Proportional to 50,209.88, 75,214.41 and 30,208.34

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Solution

The fourth proportional to 50,209.88, 75,214.41 and 30,208.34 is: 45,252.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,209.88 : 75,214.41 = 30,208.34 : x
  2. Step 2: Convert to fraction form
    50,209.88/75,214.41 = 30,208.34/x
  3. Step 3: Cross multiply
    50,209.88x = 75,214.41 × 30,208.34
  4. Step 4: Simplify right side
    50,209.88x = 2,272,102,470.18
  5. Step 5: Solve for x
    x = 2,272,102,470.18/50,209.88
  6. Step 6: Final answer
    x = 45,252.10

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