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Finding the Fourth Proportional to 54,283.70, 81,413.40 and 35,694.20

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Solution

The fourth proportional to 54,283.70, 81,413.40 and 35,694.20 is: 53,533.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,283.70 : 81,413.40 = 35,694.20 : x
  2. Step 2: Convert to fraction form
    54,283.70/81,413.40 = 35,694.20/x
  3. Step 3: Cross multiply
    54,283.70x = 81,413.40 × 35,694.20
  4. Step 4: Simplify right side
    54,283.70x = 2,905,986,182.28
  5. Step 5: Solve for x
    x = 2,905,986,182.28/54,283.70
  6. Step 6: Final answer
    x = 53,533.31

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Why These Related Problems?

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