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Finding the Fourth Proportional to 70,942.56, 106,413.84 and 24,195.84

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Solution

The fourth proportional to 70,942.56, 106,413.84 and 24,195.84 is: 36,293.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,942.56 : 106,413.84 = 24,195.84 : x
  2. Step 2: Convert to fraction form
    70,942.56/106,413.84 = 24,195.84/x
  3. Step 3: Cross multiply
    70,942.56x = 106,413.84 × 24,195.84
  4. Step 4: Simplify right side
    70,942.56x = 2,574,772,246.43
  5. Step 5: Solve for x
    x = 2,574,772,246.43/70,942.56
  6. Step 6: Final answer
    x = 36,293.76

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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.