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Finding the Fourth Proportional to 76,794.42, 105,977.44 and 42,801.96

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Solution

The fourth proportional to 76,794.42, 105,977.44 and 42,801.96 is: 59,067.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,794.42 : 105,977.44 = 42,801.96 : x
  2. Step 2: Convert to fraction form
    76,794.42/105,977.44 = 42,801.96/x
  3. Step 3: Cross multiply
    76,794.42x = 105,977.44 × 42,801.96
  4. Step 4: Simplify right side
    76,794.42x = 4,536,042,147.78
  5. Step 5: Solve for x
    x = 4,536,042,147.78/76,794.42
  6. Step 6: Final answer
    x = 59,067.34

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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.