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Finding the Fourth Proportional to 50,071.22, 69,097.65 and 30,199.22

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Solution

The fourth proportional to 50,071.22, 69,097.65 and 30,199.22 is: 41,674.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,071.22 : 69,097.65 = 30,199.22 : x
  2. Step 2: Convert to fraction form
    50,071.22/69,097.65 = 30,199.22/x
  3. Step 3: Cross multiply
    50,071.22x = 69,097.65 × 30,199.22
  4. Step 4: Simplify right side
    50,071.22x = 2,086,695,133.83
  5. Step 5: Solve for x
    x = 2,086,695,133.83/50,071.22
  6. Step 6: Final answer
    x = 41,674.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.