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Finding the Fourth Proportional to 82,454.68, 113,787.41 and 44,728.93

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Solution

The fourth proportional to 82,454.68, 113,787.41 and 44,728.93 is: 61,725.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,454.68 : 113,787.41 = 44,728.93 : x
  2. Step 2: Convert to fraction form
    82,454.68/113,787.41 = 44,728.93/x
  3. Step 3: Cross multiply
    82,454.68x = 113,787.41 × 44,728.93
  4. Step 4: Simplify right side
    82,454.68x = 5,089,589,096.77
  5. Step 5: Solve for x
    x = 5,089,589,096.77/82,454.68
  6. Step 6: Final answer
    x = 61,725.90

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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.