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Finding the Fourth Proportional to 106,676.41, 160,012.65 and 31,847.30

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Solution

The fourth proportional to 106,676.41, 160,012.65 and 31,847.30 is: 47,770.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,676.41 : 160,012.65 = 31,847.30 : x
  2. Step 2: Convert to fraction form
    106,676.41/160,012.65 = 31,847.30/x
  3. Step 3: Cross multiply
    106,676.41x = 160,012.65 × 31,847.30
  4. Step 4: Simplify right side
    106,676.41x = 5,095,970,868.35
  5. Step 5: Solve for x
    x = 5,095,970,868.35/106,676.41
  6. Step 6: Final answer
    x = 47,770.36

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1.5x scale

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.