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Finding the Fourth Proportional to 32,011.99, 48,012.18 and 8,632.96

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Solution

The fourth proportional to 32,011.99, 48,012.18 and 8,632.96 is: 12,947.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,011.99 : 48,012.18 = 8,632.96 : x
  2. Step 2: Convert to fraction form
    32,011.99/48,012.18 = 8,632.96/x
  3. Step 3: Cross multiply
    32,011.99x = 48,012.18 × 8,632.96
  4. Step 4: Simplify right side
    32,011.99x = 414,487,229.45
  5. Step 5: Solve for x
    x = 414,487,229.45/32,011.99
  6. Step 6: Final answer
    x = 12,947.87

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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.