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Finding the Fourth Proportional to 90,938.54, 136,407.82 and 27,759

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Solution

The fourth proportional to 90,938.54, 136,407.82 and 27,759 is: 41,638.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,938.54 : 136,407.82 = 27,759 : x
  2. Step 2: Convert to fraction form
    90,938.54/136,407.82 = 27,759/x
  3. Step 3: Cross multiply
    90,938.54x = 136,407.82 × 27,759
  4. Step 4: Simplify right side
    90,938.54x = 3,786,544,675.38
  5. Step 5: Solve for x
    x = 3,786,544,675.38/90,938.54
  6. Step 6: Final answer
    x = 41,638.50

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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.