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Finding the Fourth Proportional to 106,683.68, 160,026.84 and 31,806.27

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Solution

The fourth proportional to 106,683.68, 160,026.84 and 31,806.27 is: 47,709.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,683.68 : 160,026.84 = 31,806.27 : x
  2. Step 2: Convert to fraction form
    106,683.68/160,026.84 = 31,806.27/x
  3. Step 3: Cross multiply
    106,683.68x = 160,026.84 × 31,806.27
  4. Step 4: Simplify right side
    106,683.68x = 5,089,856,880.29
  5. Step 5: Solve for x
    x = 5,089,856,880.29/106,683.68
  6. Step 6: Final answer
    x = 47,709.80

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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.