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Finding the Fourth Proportional to 30,839.40, 46,232.10 and 20,946.60

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Solution

The fourth proportional to 30,839.40, 46,232.10 and 20,946.60 is: 31,401.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,839.40 : 46,232.10 = 20,946.60 : x
  2. Step 2: Convert to fraction form
    30,839.40/46,232.10 = 20,946.60/x
  3. Step 3: Cross multiply
    30,839.40x = 46,232.10 × 20,946.60
  4. Step 4: Simplify right side
    30,839.40x = 968,405,305.86
  5. Step 5: Solve for x
    x = 968,405,305.86/30,839.40
  6. Step 6: Final answer
    x = 31,401.56

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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.