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Finding the Fourth Proportional to 30,433.43, 42,030.21 and 23,289.23

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Solution

The fourth proportional to 30,433.43, 42,030.21 and 23,289.23 is: 32,163.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,433.43 : 42,030.21 = 23,289.23 : x
  2. Step 2: Convert to fraction form
    30,433.43/42,030.21 = 23,289.23/x
  3. Step 3: Cross multiply
    30,433.43x = 42,030.21 × 23,289.23
  4. Step 4: Simplify right side
    30,433.43x = 978,851,017.49
  5. Step 5: Solve for x
    x = 978,851,017.49/30,433.43
  6. Step 6: Final answer
    x = 32,163.68

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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.