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Finding the Fourth Proportional to 50,499.41, 75,731.39 and 27,698.67

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Solution

The fourth proportional to 50,499.41, 75,731.39 and 27,698.67 is: 41,538.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,499.41 : 75,731.39 = 27,698.67 : x
  2. Step 2: Convert to fraction form
    50,499.41/75,731.39 = 27,698.67/x
  3. Step 3: Cross multiply
    50,499.41x = 75,731.39 × 27,698.67
  4. Step 4: Simplify right side
    50,499.41x = 2,097,658,641.76
  5. Step 5: Solve for x
    x = 2,097,658,641.76/50,499.41
  6. Step 6: Final answer
    x = 41,538.28

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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.