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Finding the Fourth Proportional to 27,054.74, 40,578.41 and 8,079.08

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Solution

The fourth proportional to 27,054.74, 40,578.41 and 8,079.08 is: 12,117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,054.74 : 40,578.41 = 8,079.08 : x
  2. Step 2: Convert to fraction form
    27,054.74/40,578.41 = 8,079.08/x
  3. Step 3: Cross multiply
    27,054.74x = 40,578.41 × 8,079.08
  4. Step 4: Simplify right side
    27,054.74x = 327,836,220.66
  5. Step 5: Solve for x
    x = 327,836,220.66/27,054.74
  6. Step 6: Final answer
    x = 12,117.52

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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.