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Finding the Fourth Proportional to 27,929.46, 41,894.19 and 8,208.03

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Solution

The fourth proportional to 27,929.46, 41,894.19 and 8,208.03 is: 12,312.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,929.46 : 41,894.19 = 8,208.03 : x
  2. Step 2: Convert to fraction form
    27,929.46/41,894.19 = 8,208.03/x
  3. Step 3: Cross multiply
    27,929.46x = 41,894.19 × 8,208.03
  4. Step 4: Simplify right side
    27,929.46x = 343,868,768.35
  5. Step 5: Solve for x
    x = 343,868,768.35/27,929.46
  6. Step 6: Final answer
    x = 12,312.05

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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.