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Finding the Fourth Proportional to 27,978.46, 41,967.84 and 10,448.14

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Solution

The fourth proportional to 27,978.46, 41,967.84 and 10,448.14 is: 15,672.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978.46 : 41,967.84 = 10,448.14 : x
  2. Step 2: Convert to fraction form
    27,978.46/41,967.84 = 10,448.14/x
  3. Step 3: Cross multiply
    27,978.46x = 41,967.84 × 10,448.14
  4. Step 4: Simplify right side
    27,978.46x = 438,485,867.82
  5. Step 5: Solve for x
    x = 438,485,867.82/27,978.46
  6. Step 6: Final answer
    x = 15,672.27

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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.