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Finding the Fourth Proportional to 76,736.96, 105,920.16 and 44,912.96

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Solution

The fourth proportional to 76,736.96, 105,920.16 and 44,912.96 is: 61,993.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,736.96 : 105,920.16 = 44,912.96 : x
  2. Step 2: Convert to fraction form
    76,736.96/105,920.16 = 44,912.96/x
  3. Step 3: Cross multiply
    76,736.96x = 105,920.16 × 44,912.96
  4. Step 4: Simplify right side
    76,736.96x = 4,757,187,909.27
  5. Step 5: Solve for x
    x = 4,757,187,909.27/76,736.96
  6. Step 6: Final answer
    x = 61,993.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.