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Finding the Fourth Proportional to 27,348.84, 41,023.08 and 7,627.50

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Solution

The fourth proportional to 27,348.84, 41,023.08 and 7,627.50 is: 11,441.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,348.84 : 41,023.08 = 7,627.50 : x
  2. Step 2: Convert to fraction form
    27,348.84/41,023.08 = 7,627.50/x
  3. Step 3: Cross multiply
    27,348.84x = 41,023.08 × 7,627.50
  4. Step 4: Simplify right side
    27,348.84x = 312,903,542.70
  5. Step 5: Solve for x
    x = 312,903,542.70/27,348.84
  6. Step 6: Final answer
    x = 11,441.20

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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.