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Finding the Fourth Proportional to 43,647.70, 65,471.55 and 31,983.70

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Solution

The fourth proportional to 43,647.70, 65,471.55 and 31,983.70 is: 47,975.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,647.70 : 65,471.55 = 31,983.70 : x
  2. Step 2: Convert to fraction form
    43,647.70/65,471.55 = 31,983.70/x
  3. Step 3: Cross multiply
    43,647.70x = 65,471.55 × 31,983.70
  4. Step 4: Simplify right side
    43,647.70x = 2,094,022,413.74
  5. Step 5: Solve for x
    x = 2,094,022,413.74/43,647.70
  6. Step 6: Final answer
    x = 47,975.55

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1.5x scale

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.