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Finding the Fourth Proportional to 27,903.29, 41,851.89 and 8,182.01

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Solution

The fourth proportional to 27,903.29, 41,851.89 and 8,182.01 is: 12,272.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,903.29 : 41,851.89 = 8,182.01 : x
  2. Step 2: Convert to fraction form
    27,903.29/41,851.89 = 8,182.01/x
  3. Step 3: Cross multiply
    27,903.29x = 41,851.89 × 8,182.01
  4. Step 4: Simplify right side
    27,903.29x = 342,432,687.13
  5. Step 5: Solve for x
    x = 342,432,687.13/27,903.29
  6. Step 6: Final answer
    x = 12,272.13

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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.