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Finding the Fourth Proportional to 47,808.36, 71,632.74 and 33,745.32

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Solution

The fourth proportional to 47,808.36, 71,632.74 and 33,745.32 is: 50,561.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,808.36 : 71,632.74 = 33,745.32 : x
  2. Step 2: Convert to fraction form
    47,808.36/71,632.74 = 33,745.32/x
  3. Step 3: Cross multiply
    47,808.36x = 71,632.74 × 33,745.32
  4. Step 4: Simplify right side
    47,808.36x = 2,417,269,733.78
  5. Step 5: Solve for x
    x = 2,417,269,733.78/47,808.36
  6. Step 6: Final answer
    x = 50,561.65

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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.