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Finding the Fourth Proportional to 27,610.18, 41,415.27 and 6,833.68

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Solution

The fourth proportional to 27,610.18, 41,415.27 and 6,833.68 is: 10,250.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,610.18 : 41,415.27 = 6,833.68 : x
  2. Step 2: Convert to fraction form
    27,610.18/41,415.27 = 6,833.68/x
  3. Step 3: Cross multiply
    27,610.18x = 41,415.27 × 6,833.68
  4. Step 4: Simplify right side
    27,610.18x = 283,018,573.13
  5. Step 5: Solve for x
    x = 283,018,573.13/27,610.18
  6. Step 6: Final answer
    x = 10,250.52

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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.