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Finding the Fourth Proportional to 90,928.54, 136,392.82 and 27,749

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Solution

The fourth proportional to 90,928.54, 136,392.82 and 27,749 is: 41,623.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,928.54 : 136,392.82 = 27,749 : x
  2. Step 2: Convert to fraction form
    90,928.54/136,392.82 = 27,749/x
  3. Step 3: Cross multiply
    90,928.54x = 136,392.82 × 27,749
  4. Step 4: Simplify right side
    90,928.54x = 3,784,764,362.18
  5. Step 5: Solve for x
    x = 3,784,764,362.18/90,928.54
  6. Step 6: Final answer
    x = 41,623.50

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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.