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Finding the Fourth Proportional to 50,340.69, 75,509.82 and 20,738.03

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Solution

The fourth proportional to 50,340.69, 75,509.82 and 20,738.03 is: 31,106.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,340.69 : 75,509.82 = 20,738.03 : x
  2. Step 2: Convert to fraction form
    50,340.69/75,509.82 = 20,738.03/x
  3. Step 3: Cross multiply
    50,340.69x = 75,509.82 × 20,738.03
  4. Step 4: Simplify right side
    50,340.69x = 1,565,924,534.91
  5. Step 5: Solve for x
    x = 1,565,924,534.91/50,340.69
  6. Step 6: Final answer
    x = 31,106.54

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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.