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Finding the Fourth Proportional to 27,849, 41,774.10 and 13,049.76

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Solution

The fourth proportional to 27,849, 41,774.10 and 13,049.76 is: 19,574.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,849 : 41,774.10 = 13,049.76 : x
  2. Step 2: Convert to fraction form
    27,849/41,774.10 = 13,049.76/x
  3. Step 3: Cross multiply
    27,849x = 41,774.10 × 13,049.76
  4. Step 4: Simplify right side
    27,849x = 545,141,979.22
  5. Step 5: Solve for x
    x = 545,141,979.22/27,849
  6. Step 6: Final answer
    x = 19,574.92

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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.