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Finding the Fourth Proportional to 27,351.84, 41,027.58 and 7,630.50

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Solution

The fourth proportional to 27,351.84, 41,027.58 and 7,630.50 is: 11,445.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,351.84 : 41,027.58 = 7,630.50 : x
  2. Step 2: Convert to fraction form
    27,351.84/41,027.58 = 7,630.50/x
  3. Step 3: Cross multiply
    27,351.84x = 41,027.58 × 7,630.50
  4. Step 4: Simplify right side
    27,351.84x = 313,060,949.19
  5. Step 5: Solve for x
    x = 313,060,949.19/27,351.84
  6. Step 6: Final answer
    x = 11,445.70

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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.