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Finding the Fourth Proportional to 27,851.50, 41,783.73 and 9,383.50

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Solution

The fourth proportional to 27,851.50, 41,783.73 and 9,383.50 is: 14,077.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,851.50 : 41,783.73 = 9,383.50 : x
  2. Step 2: Convert to fraction form
    27,851.50/41,783.73 = 9,383.50/x
  3. Step 3: Cross multiply
    27,851.50x = 41,783.73 × 9,383.50
  4. Step 4: Simplify right side
    27,851.50x = 392,077,630.46
  5. Step 5: Solve for x
    x = 392,077,630.46/27,851.50
  6. Step 6: Final answer
    x = 14,077.43

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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.