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Finding the Fourth Proportional to 37,324, 55,989.24 and 9,622

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Solution

The fourth proportional to 37,324, 55,989.24 and 9,622 is: 14,433.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,324 : 55,989.24 = 9,622 : x
  2. Step 2: Convert to fraction form
    37,324/55,989.24 = 9,622/x
  3. Step 3: Cross multiply
    37,324x = 55,989.24 × 9,622
  4. Step 4: Simplify right side
    37,324x = 538,728,467.28
  5. Step 5: Solve for x
    x = 538,728,467.28/37,324
  6. Step 6: Final answer
    x = 14,433.84

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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.