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Finding the Fourth Proportional to 27,489.61, 41,208.76 and 10,849.78

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Solution

The fourth proportional to 27,489.61, 41,208.76 and 10,849.78 is: 16,264.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,489.61 : 41,208.76 = 10,849.78 : x
  2. Step 2: Convert to fraction form
    27,489.61/41,208.76 = 10,849.78/x
  3. Step 3: Cross multiply
    27,489.61x = 41,208.76 × 10,849.78
  4. Step 4: Simplify right side
    27,489.61x = 447,105,980.07
  5. Step 5: Solve for x
    x = 447,105,980.07/27,489.61
  6. Step 6: Final answer
    x = 16,264.54

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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.