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Finding the Fourth Proportional to 32,014.80, 48,007.80 and 12,286.80

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Solution

The fourth proportional to 32,014.80, 48,007.80 and 12,286.80 is: 18,424.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,014.80 : 48,007.80 = 12,286.80 : x
  2. Step 2: Convert to fraction form
    32,014.80/48,007.80 = 12,286.80/x
  3. Step 3: Cross multiply
    32,014.80x = 48,007.80 × 12,286.80
  4. Step 4: Simplify right side
    32,014.80x = 589,862,237.04
  5. Step 5: Solve for x
    x = 589,862,237.04/32,014.80
  6. Step 6: Final answer
    x = 18,424.67

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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.