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Finding the Fourth Proportional to 27,603.88, 41,405.44 and 6,827.40

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Solution

The fourth proportional to 27,603.88, 41,405.44 and 6,827.40 is: 10,241.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,603.88 : 41,405.44 = 6,827.40 : x
  2. Step 2: Convert to fraction form
    27,603.88/41,405.44 = 6,827.40/x
  3. Step 3: Cross multiply
    27,603.88x = 41,405.44 × 6,827.40
  4. Step 4: Simplify right side
    27,603.88x = 282,691,501.06
  5. Step 5: Solve for x
    x = 282,691,501.06/27,603.88
  6. Step 6: Final answer
    x = 10,241.01

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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.