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Finding the Fourth Proportional to 72,775.28, 109,175.38 and 33,335.78

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Solution

The fourth proportional to 72,775.28, 109,175.38 and 33,335.78 is: 50,009.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,775.28 : 109,175.38 = 33,335.78 : x
  2. Step 2: Convert to fraction form
    72,775.28/109,175.38 = 33,335.78/x
  3. Step 3: Cross multiply
    72,775.28x = 109,175.38 × 33,335.78
  4. Step 4: Simplify right side
    72,775.28x = 3,639,445,819.88
  5. Step 5: Solve for x
    x = 3,639,445,819.88/72,775.28
  6. Step 6: Final answer
    x = 50,009.37

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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.