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Finding the Fourth Proportional to 27,823.71, 41,735.63 and 8,102.74

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Solution

The fourth proportional to 27,823.71, 41,735.63 and 8,102.74 is: 12,154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,823.71 : 41,735.63 = 8,102.74 : x
  2. Step 2: Convert to fraction form
    27,823.71/41,735.63 = 8,102.74/x
  3. Step 3: Cross multiply
    27,823.71x = 41,735.63 × 8,102.74
  4. Step 4: Simplify right side
    27,823.71x = 338,172,958.63
  5. Step 5: Solve for x
    x = 338,172,958.63/27,823.71
  6. Step 6: Final answer
    x = 12,154.13

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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.