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Finding the Fourth Proportional to 82,454.73, 113,787.32 and 44,728.98

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Solution

The fourth proportional to 82,454.73, 113,787.32 and 44,728.98 is: 61,725.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,454.73 : 113,787.32 = 44,728.98 : x
  2. Step 2: Convert to fraction form
    82,454.73/113,787.32 = 44,728.98/x
  3. Step 3: Cross multiply
    82,454.73x = 113,787.32 × 44,728.98
  4. Step 4: Simplify right side
    82,454.73x = 5,089,590,110.19
  5. Step 5: Solve for x
    x = 5,089,590,110.19/82,454.73
  6. Step 6: Final answer
    x = 61,725.87

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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.