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Finding the Fourth Proportional to 106,393.96, 159,589.98 and 40,729.96

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Solution

The fourth proportional to 106,393.96, 159,589.98 and 40,729.96 is: 61,094.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,393.96 : 159,589.98 = 40,729.96 : x
  2. Step 2: Convert to fraction form
    106,393.96/159,589.98 = 40,729.96/x
  3. Step 3: Cross multiply
    106,393.96x = 159,589.98 × 40,729.96
  4. Step 4: Simplify right side
    106,393.96x = 6,500,093,501.80
  5. Step 5: Solve for x
    x = 6,500,093,501.80/106,393.96
  6. Step 6: Final answer
    x = 61,094.57

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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.