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Finding the Fourth Proportional to 75,796.54, 113,773.66 and 55,828.58

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Solution

The fourth proportional to 75,796.54, 113,773.66 and 55,828.58 is: 83,800.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,796.54 : 113,773.66 = 55,828.58 : x
  2. Step 2: Convert to fraction form
    75,796.54/113,773.66 = 55,828.58/x
  3. Step 3: Cross multiply
    75,796.54x = 113,773.66 × 55,828.58
  4. Step 4: Simplify right side
    75,796.54x = 6,351,821,879.20
  5. Step 5: Solve for x
    x = 6,351,821,879.20/75,796.54
  6. Step 6: Final answer
    x = 83,800.95

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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.