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Finding the Fourth Proportional to 54,366.76, 81,549.06 and 30,943

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Solution

The fourth proportional to 54,366.76, 81,549.06 and 30,943 is: 46,413.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,366.76 : 81,549.06 = 30,943 : x
  2. Step 2: Convert to fraction form
    54,366.76/81,549.06 = 30,943/x
  3. Step 3: Cross multiply
    54,366.76x = 81,549.06 × 30,943
  4. Step 4: Simplify right side
    54,366.76x = 2,523,372,563.58
  5. Step 5: Solve for x
    x = 2,523,372,563.58/54,366.76
  6. Step 6: Final answer
    x = 46,413.89

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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.