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Finding the Fourth Proportional to 27,328.30, 41,005.41 and 9,799.90

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Solution

The fourth proportional to 27,328.30, 41,005.41 and 9,799.90 is: 14,704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,328.30 : 41,005.41 = 9,799.90 : x
  2. Step 2: Convert to fraction form
    27,328.30/41,005.41 = 9,799.90/x
  3. Step 3: Cross multiply
    27,328.30x = 41,005.41 × 9,799.90
  4. Step 4: Simplify right side
    27,328.30x = 401,848,917.46
  5. Step 5: Solve for x
    x = 401,848,917.46/27,328.30
  6. Step 6: Final answer
    x = 14,704.50

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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.