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Finding the Fourth Proportional to 27,784.40, 41,678.76 and 8,063.24

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Solution

The fourth proportional to 27,784.40, 41,678.76 and 8,063.24 is: 12,095.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,784.40 : 41,678.76 = 8,063.24 : x
  2. Step 2: Convert to fraction form
    27,784.40/41,678.76 = 8,063.24/x
  3. Step 3: Cross multiply
    27,784.40x = 41,678.76 × 8,063.24
  4. Step 4: Simplify right side
    27,784.40x = 336,065,844.78
  5. Step 5: Solve for x
    x = 336,065,844.78/27,784.40
  6. Step 6: Final answer
    x = 12,095.49

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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.