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Finding the Fourth Proportional to 30,496.40, 45,744.60 and 20,032.55

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Solution

The fourth proportional to 30,496.40, 45,744.60 and 20,032.55 is: 30,048.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,496.40 : 45,744.60 = 20,032.55 : x
  2. Step 2: Convert to fraction form
    30,496.40/45,744.60 = 20,032.55/x
  3. Step 3: Cross multiply
    30,496.40x = 45,744.60 × 20,032.55
  4. Step 4: Simplify right side
    30,496.40x = 916,380,986.73
  5. Step 5: Solve for x
    x = 916,380,986.73/30,496.40
  6. Step 6: Final answer
    x = 30,048.83

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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.