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Finding the Fourth Proportional to 50,943.04, 76,413.76 and 27,564

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Solution

The fourth proportional to 50,943.04, 76,413.76 and 27,564 is: 41,345.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,943.04 : 76,413.76 = 27,564 : x
  2. Step 2: Convert to fraction form
    50,943.04/76,413.76 = 27,564/x
  3. Step 3: Cross multiply
    50,943.04x = 76,413.76 × 27,564
  4. Step 4: Simplify right side
    50,943.04x = 2,106,268,880.64
  5. Step 5: Solve for x
    x = 2,106,268,880.64/50,943.04
  6. Step 6: Final answer
    x = 41,345.57

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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.