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Finding the Fourth Proportional to 32,007.38, 47,946.77 and 15,948.48

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Solution

The fourth proportional to 32,007.38, 47,946.77 and 15,948.48 is: 23,890.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,007.38 : 47,946.77 = 15,948.48 : x
  2. Step 2: Convert to fraction form
    32,007.38/47,946.77 = 15,948.48/x
  3. Step 3: Cross multiply
    32,007.38x = 47,946.77 × 15,948.48
  4. Step 4: Simplify right side
    32,007.38x = 764,677,902.80
  5. Step 5: Solve for x
    x = 764,677,902.80/32,007.38
  6. Step 6: Final answer
    x = 23,890.67

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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.