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Finding the Fourth Proportional to 77,675.96, 107,191.81 and 43,684.44

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Solution

The fourth proportional to 77,675.96, 107,191.81 and 43,684.44 is: 60,283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,675.96 : 107,191.81 = 43,684.44 : x
  2. Step 2: Convert to fraction form
    77,675.96/107,191.81 = 43,684.44/x
  3. Step 3: Cross multiply
    77,675.96x = 107,191.81 × 43,684.44
  4. Step 4: Simplify right side
    77,675.96x = 4,682,614,192.44
  5. Step 5: Solve for x
    x = 4,682,614,192.44/77,675.96
  6. Step 6: Final answer
    x = 60,283.96

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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.