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Finding the Fourth Proportional to 31,527.40, 47,228.70 and 20,441.80

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Solution

The fourth proportional to 31,527.40, 47,228.70 and 20,441.80 is: 30,622.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,527.40 : 47,228.70 = 20,441.80 : x
  2. Step 2: Convert to fraction form
    31,527.40/47,228.70 = 20,441.80/x
  3. Step 3: Cross multiply
    31,527.40x = 47,228.70 × 20,441.80
  4. Step 4: Simplify right side
    31,527.40x = 965,439,639.66
  5. Step 5: Solve for x
    x = 965,439,639.66/31,527.40
  6. Step 6: Final answer
    x = 30,622.24

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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.