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Finding the Fourth Proportional to 75,880.30, 113,820.45 and 50,932.30

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Solution

The fourth proportional to 75,880.30, 113,820.45 and 50,932.30 is: 76,398.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,880.30 : 113,820.45 = 50,932.30 : x
  2. Step 2: Convert to fraction form
    75,880.30/113,820.45 = 50,932.30/x
  3. Step 3: Cross multiply
    75,880.30x = 113,820.45 × 50,932.30
  4. Step 4: Simplify right side
    75,880.30x = 5,797,137,305.54
  5. Step 5: Solve for x
    x = 5,797,137,305.54/75,880.30
  6. Step 6: Final answer
    x = 76,398.45

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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.