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Finding the Fourth Proportional to 30,222.94, 45,365.40 and 20,197.38

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Solution

The fourth proportional to 30,222.94, 45,365.40 and 20,197.38 is: 30,316.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,222.94 : 45,365.40 = 20,197.38 : x
  2. Step 2: Convert to fraction form
    30,222.94/45,365.40 = 20,197.38/x
  3. Step 3: Cross multiply
    30,222.94x = 45,365.40 × 20,197.38
  4. Step 4: Simplify right side
    30,222.94x = 916,262,222.65
  5. Step 5: Solve for x
    x = 916,262,222.65/30,222.94
  6. Step 6: Final answer
    x = 30,316.78

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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.