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Finding the Fourth Proportional to 77,843.94, 107,406.10 and 43,845.64

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Solution

The fourth proportional to 77,843.94, 107,406.10 and 43,845.64 is: 60,496.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,843.94 : 107,406.10 = 43,845.64 : x
  2. Step 2: Convert to fraction form
    77,843.94/107,406.10 = 43,845.64/x
  3. Step 3: Cross multiply
    77,843.94x = 107,406.10 × 43,845.64
  4. Step 4: Simplify right side
    77,843.94x = 4,709,288,980.70
  5. Step 5: Solve for x
    x = 4,709,288,980.70/77,843.94
  6. Step 6: Final answer
    x = 60,496.54

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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.