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Finding the Fourth Proportional to 27,838.48, 41,764.64 and 8,117.22

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Solution

The fourth proportional to 27,838.48, 41,764.64 and 8,117.22 is: 12,177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,838.48 : 41,764.64 = 8,117.22 : x
  2. Step 2: Convert to fraction form
    27,838.48/41,764.64 = 8,117.22/x
  3. Step 3: Cross multiply
    27,838.48x = 41,764.64 × 8,117.22
  4. Step 4: Simplify right side
    27,838.48x = 339,012,771.10
  5. Step 5: Solve for x
    x = 339,012,771.10/27,838.48
  6. Step 6: Final answer
    x = 12,177.85

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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.