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Finding the Fourth Proportional to 32,352.14, 48,511.69 and 14,806.93

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Solution

The fourth proportional to 32,352.14, 48,511.69 and 14,806.93 is: 22,202.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,352.14 : 48,511.69 = 14,806.93 : x
  2. Step 2: Convert to fraction form
    32,352.14/48,511.69 = 14,806.93/x
  3. Step 3: Cross multiply
    32,352.14x = 48,511.69 × 14,806.93
  4. Step 4: Simplify right side
    32,352.14x = 718,309,198.01
  5. Step 5: Solve for x
    x = 718,309,198.01/32,352.14
  6. Step 6: Final answer
    x = 22,202.83

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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.