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Finding the Fourth Proportional to 78,324.58, 117,529.41 and 33,338.60

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Solution

The fourth proportional to 78,324.58, 117,529.41 and 33,338.60 is: 50,026.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,324.58 : 117,529.41 = 33,338.60 : x
  2. Step 2: Convert to fraction form
    78,324.58/117,529.41 = 33,338.60/x
  3. Step 3: Cross multiply
    78,324.58x = 117,529.41 × 33,338.60
  4. Step 4: Simplify right side
    78,324.58x = 3,918,265,988.23
  5. Step 5: Solve for x
    x = 3,918,265,988.23/78,324.58
  6. Step 6: Final answer
    x = 50,026.01

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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.