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Finding the Fourth Proportional to 27,728, 41,567.04 and 10,194.08

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Solution

The fourth proportional to 27,728, 41,567.04 and 10,194.08 is: 15,281.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,728 : 41,567.04 = 10,194.08 : x
  2. Step 2: Convert to fraction form
    27,728/41,567.04 = 10,194.08/x
  3. Step 3: Cross multiply
    27,728x = 41,567.04 × 10,194.08
  4. Step 4: Simplify right side
    27,728x = 423,737,731.12
  5. Step 5: Solve for x
    x = 423,737,731.12/27,728
  6. Step 6: Final answer
    x = 15,281.94

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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.