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Finding the Fourth Proportional to 75,374.48, 104,016.94 and 41,840.48

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Solution

The fourth proportional to 75,374.48, 104,016.94 and 41,840.48 is: 57,739.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,374.48 : 104,016.94 = 41,840.48 : x
  2. Step 2: Convert to fraction form
    75,374.48/104,016.94 = 41,840.48/x
  3. Step 3: Cross multiply
    75,374.48x = 104,016.94 × 41,840.48
  4. Step 4: Simplify right side
    75,374.48x = 4,352,118,697.73
  5. Step 5: Solve for x
    x = 4,352,118,697.73/75,374.48
  6. Step 6: Final answer
    x = 57,739.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.