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Finding the Fourth Proportional to 75,641.22, 104,383.49 and 41,648.96

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Solution

The fourth proportional to 75,641.22, 104,383.49 and 41,648.96 is: 57,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,641.22 : 104,383.49 = 41,648.96 : x
  2. Step 2: Convert to fraction form
    75,641.22/104,383.49 = 41,648.96/x
  3. Step 3: Cross multiply
    75,641.22x = 104,383.49 × 41,648.96
  4. Step 4: Simplify right side
    75,641.22x = 4,347,463,852.38
  5. Step 5: Solve for x
    x = 4,347,463,852.38/75,641.22
  6. Step 6: Final answer
    x = 57,474.80

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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.