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Finding the Fourth Proportional to 102,889.85, 154,383.94 and 36,361.31

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Solution

The fourth proportional to 102,889.85, 154,383.94 and 36,361.31 is: 54,559.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,889.85 : 154,383.94 = 36,361.31 : x
  2. Step 2: Convert to fraction form
    102,889.85/154,383.94 = 36,361.31/x
  3. Step 3: Cross multiply
    102,889.85x = 154,383.94 × 36,361.31
  4. Step 4: Simplify right side
    102,889.85x = 5,613,601,574.89
  5. Step 5: Solve for x
    x = 5,613,601,574.89/102,889.85
  6. Step 6: Final answer
    x = 54,559.34

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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.