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Finding the Fourth Proportional to 75,651.90, 113,425.29 and 33,509.01

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Solution

The fourth proportional to 75,651.90, 113,425.29 and 33,509.01 is: 50,240.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,651.90 : 113,425.29 = 33,509.01 : x
  2. Step 2: Convert to fraction form
    75,651.90/113,425.29 = 33,509.01/x
  3. Step 3: Cross multiply
    75,651.90x = 113,425.29 × 33,509.01
  4. Step 4: Simplify right side
    75,651.90x = 3,800,769,176.86
  5. Step 5: Solve for x
    x = 3,800,769,176.86/75,651.90
  6. Step 6: Final answer
    x = 50,240.23

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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.