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Finding the Fourth Proportional to 99,846.96, 137,787.72 and 54,524.81

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Solution

The fourth proportional to 99,846.96, 137,787.72 and 54,524.81 is: 75,243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,846.96 : 137,787.72 = 54,524.81 : x
  2. Step 2: Convert to fraction form
    99,846.96/137,787.72 = 54,524.81/x
  3. Step 3: Cross multiply
    99,846.96x = 137,787.72 × 54,524.81
  4. Step 4: Simplify right side
    99,846.96x = 7,512,848,564.39
  5. Step 5: Solve for x
    x = 7,512,848,564.39/99,846.96
  6. Step 6: Final answer
    x = 75,243.64

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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.