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Finding the Fourth Proportional to 32,511.86, 48,795.48 and 12,804.26

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Solution

The fourth proportional to 32,511.86, 48,795.48 and 12,804.26 is: 19,217.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,511.86 : 48,795.48 = 12,804.26 : x
  2. Step 2: Convert to fraction form
    32,511.86/48,795.48 = 12,804.26/x
  3. Step 3: Cross multiply
    32,511.86x = 48,795.48 × 12,804.26
  4. Step 4: Simplify right side
    32,511.86x = 624,790,134.73
  5. Step 5: Solve for x
    x = 624,790,134.73/32,511.86
  6. Step 6: Final answer
    x = 19,217.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.