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Finding the Fourth Proportional to 105,794.31, 158,690.78 and 26,907.86

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Solution

The fourth proportional to 105,794.31, 158,690.78 and 26,907.86 is: 40,361.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,794.31 : 158,690.78 = 26,907.86 : x
  2. Step 2: Convert to fraction form
    105,794.31/158,690.78 = 26,907.86/x
  3. Step 3: Cross multiply
    105,794.31x = 158,690.78 × 26,907.86
  4. Step 4: Simplify right side
    105,794.31x = 4,270,029,291.53
  5. Step 5: Solve for x
    x = 4,270,029,291.53/105,794.31
  6. Step 6: Final answer
    x = 40,361.62

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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.