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Finding the Fourth Proportional to 32,195.34, 48,295.18 and 11,137.44

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Solution

The fourth proportional to 32,195.34, 48,295.18 and 11,137.44 is: 16,706.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,195.34 : 48,295.18 = 11,137.44 : x
  2. Step 2: Convert to fraction form
    32,195.34/48,295.18 = 11,137.44/x
  3. Step 3: Cross multiply
    32,195.34x = 48,295.18 × 11,137.44
  4. Step 4: Simplify right side
    32,195.34x = 537,884,669.54
  5. Step 5: Solve for x
    x = 537,884,669.54/32,195.34
  6. Step 6: Final answer
    x = 16,706.91

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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.