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Finding the Fourth Proportional to 32,614.34, 48,940.32 and 17,621.50

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Solution

The fourth proportional to 32,614.34, 48,940.32 and 17,621.50 is: 26,442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,614.34 : 48,940.32 = 17,621.50 : x
  2. Step 2: Convert to fraction form
    32,614.34/48,940.32 = 17,621.50/x
  3. Step 3: Cross multiply
    32,614.34x = 48,940.32 × 17,621.50
  4. Step 4: Simplify right side
    32,614.34x = 862,401,770.35
  5. Step 5: Solve for x
    x = 862,401,770.35/32,614.34
  6. Step 6: Final answer
    x = 26,442.41

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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.