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Finding the Fourth Proportional to 32,683.44, 49,033.80 and 17,096.88

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Solution

The fourth proportional to 32,683.44, 49,033.80 and 17,096.88 is: 25,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,683.44 : 49,033.80 = 17,096.88 : x
  2. Step 2: Convert to fraction form
    32,683.44/49,033.80 = 17,096.88/x
  3. Step 3: Cross multiply
    32,683.44x = 49,033.80 × 17,096.88
  4. Step 4: Simplify right side
    32,683.44x = 838,324,994.54
  5. Step 5: Solve for x
    x = 838,324,994.54/32,683.44
  6. Step 6: Final answer
    x = 25,649.84

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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.