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Finding the Fourth Proportional to 27,775.58, 41,669.84 and 8,054.51

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Solution

The fourth proportional to 27,775.58, 41,669.84 and 8,054.51 is: 12,083.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,775.58 : 41,669.84 = 8,054.51 : x
  2. Step 2: Convert to fraction form
    27,775.58/41,669.84 = 8,054.51/x
  3. Step 3: Cross multiply
    27,775.58x = 41,669.84 × 8,054.51
  4. Step 4: Simplify right side
    27,775.58x = 335,629,954.77
  5. Step 5: Solve for x
    x = 335,629,954.77/27,775.58
  6. Step 6: Final answer
    x = 12,083.64

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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.