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Finding the Fourth Proportional to 37,461.38, 51,674.81 and 23,318.78

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Solution

The fourth proportional to 37,461.38, 51,674.81 and 23,318.78 is: 32,166.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,461.38 : 51,674.81 = 23,318.78 : x
  2. Step 2: Convert to fraction form
    37,461.38/51,674.81 = 23,318.78/x
  3. Step 3: Cross multiply
    37,461.38x = 51,674.81 × 23,318.78
  4. Step 4: Simplify right side
    37,461.38x = 1,204,993,150.96
  5. Step 5: Solve for x
    x = 1,204,993,150.96/37,461.38
  6. Step 6: Final answer
    x = 32,166.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.