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Finding the Fourth Proportional to 75,732.22, 113,619.37 and 33,041.37

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Solution

The fourth proportional to 75,732.22, 113,619.37 and 33,041.37 is: 49,571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,732.22 : 113,619.37 = 33,041.37 : x
  2. Step 2: Convert to fraction form
    75,732.22/113,619.37 = 33,041.37/x
  3. Step 3: Cross multiply
    75,732.22x = 113,619.37 × 33,041.37
  4. Step 4: Simplify right side
    75,732.22x = 3,754,139,643.34
  5. Step 5: Solve for x
    x = 3,754,139,643.34/75,732.22
  6. Step 6: Final answer
    x = 49,571.23

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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.