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Finding the Fourth Proportional to 30,090.96, 45,142.50 and 20,735.46

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Solution

The fourth proportional to 30,090.96, 45,142.50 and 20,735.46 is: 31,107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,090.96 : 45,142.50 = 20,735.46 : x
  2. Step 2: Convert to fraction form
    30,090.96/45,142.50 = 20,735.46/x
  3. Step 3: Cross multiply
    30,090.96x = 45,142.50 × 20,735.46
  4. Step 4: Simplify right side
    30,090.96x = 936,050,503.05
  5. Step 5: Solve for x
    x = 936,050,503.05/30,090.96
  6. Step 6: Final answer
    x = 31,107.37

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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.