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Finding the Fourth Proportional to 50,930.58, 76,413.69 and 19,787.70

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Solution

The fourth proportional to 50,930.58, 76,413.69 and 19,787.70 is: 29,688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,930.58 : 76,413.69 = 19,787.70 : x
  2. Step 2: Convert to fraction form
    50,930.58/76,413.69 = 19,787.70/x
  3. Step 3: Cross multiply
    50,930.58x = 76,413.69 × 19,787.70
  4. Step 4: Simplify right side
    50,930.58x = 1,512,051,173.61
  5. Step 5: Solve for x
    x = 1,512,051,173.61/50,930.58
  6. Step 6: Final answer
    x = 29,688.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.