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Finding the Fourth Proportional to 32,007.26, 48,011.76 and 8,633.63

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Solution

The fourth proportional to 32,007.26, 48,011.76 and 8,633.63 is: 12,950.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,007.26 : 48,011.76 = 8,633.63 : x
  2. Step 2: Convert to fraction form
    32,007.26/48,011.76 = 8,633.63/x
  3. Step 3: Cross multiply
    32,007.26x = 48,011.76 × 8,633.63
  4. Step 4: Simplify right side
    32,007.26x = 414,515,531.43
  5. Step 5: Solve for x
    x = 414,515,531.43/32,007.26
  6. Step 6: Final answer
    x = 12,950.67

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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.