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Finding the Fourth Proportional to 82,787.86, 114,244.07 and 46,975.73

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Solution

The fourth proportional to 82,787.86, 114,244.07 and 46,975.73 is: 64,824.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,787.86 : 114,244.07 = 46,975.73 : x
  2. Step 2: Convert to fraction form
    82,787.86/114,244.07 = 46,975.73/x
  3. Step 3: Cross multiply
    82,787.86x = 114,244.07 × 46,975.73
  4. Step 4: Simplify right side
    82,787.86x = 5,366,698,351.54
  5. Step 5: Solve for x
    x = 5,366,698,351.54/82,787.86
  6. Step 6: Final answer
    x = 64,824.71

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