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Finding the Fourth Proportional to 109,576.54, 164,372.10 and 38,490.54

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Solution

The fourth proportional to 109,576.54, 164,372.10 and 38,490.54 is: 57,738.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,576.54 : 164,372.10 = 38,490.54 : x
  2. Step 2: Convert to fraction form
    109,576.54/164,372.10 = 38,490.54/x
  3. Step 3: Cross multiply
    109,576.54x = 164,372.10 × 38,490.54
  4. Step 4: Simplify right side
    109,576.54x = 6,326,770,889.93
  5. Step 5: Solve for x
    x = 6,326,770,889.93/109,576.54
  6. Step 6: Final answer
    x = 57,738.37

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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.