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Finding the Fourth Proportional to 34,961.92, 48,243.28 and 19,854.48

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Solution

The fourth proportional to 34,961.92, 48,243.28 and 19,854.48 is: 27,396.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,961.92 : 48,243.28 = 19,854.48 : x
  2. Step 2: Convert to fraction form
    34,961.92/48,243.28 = 19,854.48/x
  3. Step 3: Cross multiply
    34,961.92x = 48,243.28 × 19,854.48
  4. Step 4: Simplify right side
    34,961.92x = 957,845,237.89
  5. Step 5: Solve for x
    x = 957,845,237.89/34,961.92
  6. Step 6: Final answer
    x = 27,396.81

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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.