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Finding the Fourth Proportional to 89,256.50, 133,884.78 and 33,852.50

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Solution

The fourth proportional to 89,256.50, 133,884.78 and 33,852.50 is: 50,778.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,256.50 : 133,884.78 = 33,852.50 : x
  2. Step 2: Convert to fraction form
    89,256.50/133,884.78 = 33,852.50/x
  3. Step 3: Cross multiply
    89,256.50x = 133,884.78 × 33,852.50
  4. Step 4: Simplify right side
    89,256.50x = 4,532,334,514.95
  5. Step 5: Solve for x
    x = 4,532,334,514.95/89,256.50
  6. Step 6: Final answer
    x = 50,778.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.