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Finding the Fourth Proportional to 75,362.64, 113,063.40 and 33,825.84

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Solution

The fourth proportional to 75,362.64, 113,063.40 and 33,825.84 is: 50,747.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,362.64 : 113,063.40 = 33,825.84 : x
  2. Step 2: Convert to fraction form
    75,362.64/113,063.40 = 33,825.84/x
  3. Step 3: Cross multiply
    75,362.64x = 113,063.40 × 33,825.84
  4. Step 4: Simplify right side
    75,362.64x = 3,824,464,478.26
  5. Step 5: Solve for x
    x = 3,824,464,478.26/75,362.64
  6. Step 6: Final answer
    x = 50,747.49

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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.