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Finding the Fourth Proportional to 48,012.71, 71,879.54 and 27,961.00

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Solution

The fourth proportional to 48,012.71, 71,879.54 and 27,961.00 is: 41,860.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,012.71 : 71,879.54 = 27,961.00 : x
  2. Step 2: Convert to fraction form
    48,012.71/71,879.54 = 27,961.00/x
  3. Step 3: Cross multiply
    48,012.71x = 71,879.54 × 27,961.00
  4. Step 4: Simplify right side
    48,012.71x = 2,009,823,498.44
  5. Step 5: Solve for x
    x = 2,009,823,498.44/48,012.71
  6. Step 6: Final answer
    x = 41,860.24

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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.