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Finding the Fourth Proportional to 67,056.75, 100,431.99 and 32,021.01

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Solution

The fourth proportional to 67,056.75, 100,431.99 and 32,021.01 is: 47,958.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,056.75 : 100,431.99 = 32,021.01 : x
  2. Step 2: Convert to fraction form
    67,056.75/100,431.99 = 32,021.01/x
  3. Step 3: Cross multiply
    67,056.75x = 100,431.99 × 32,021.01
  4. Step 4: Simplify right side
    67,056.75x = 3,215,933,756.11
  5. Step 5: Solve for x
    x = 3,215,933,756.11/67,056.75
  6. Step 6: Final answer
    x = 47,958.39

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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.