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Finding the Fourth Proportional to 27,102.66, 40,653.77 and 21,184.53

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Solution

The fourth proportional to 27,102.66, 40,653.77 and 21,184.53 is: 31,776.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,102.66 : 40,653.77 = 21,184.53 : x
  2. Step 2: Convert to fraction form
    27,102.66/40,653.77 = 21,184.53/x
  3. Step 3: Cross multiply
    27,102.66x = 40,653.77 × 21,184.53
  4. Step 4: Simplify right side
    27,102.66x = 861,230,751.80
  5. Step 5: Solve for x
    x = 861,230,751.80/27,102.66
  6. Step 6: Final answer
    x = 31,776.61

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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.