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Finding the Fourth Proportional to 100,384.64, 150,543.78 and 33,808.24

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Solution

The fourth proportional to 100,384.64, 150,543.78 and 33,808.24 is: 50,701.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,384.64 : 150,543.78 = 33,808.24 : x
  2. Step 2: Convert to fraction form
    100,384.64/150,543.78 = 33,808.24/x
  3. Step 3: Cross multiply
    100,384.64x = 150,543.78 × 33,808.24
  4. Step 4: Simplify right side
    100,384.64x = 5,089,620,244.75
  5. Step 5: Solve for x
    x = 5,089,620,244.75/100,384.64
  6. Step 6: Final answer
    x = 50,701.19

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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.