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Finding the Fourth Proportional to 27,993.39, 41,785.27 and 24,672.00

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Solution

The fourth proportional to 27,993.39, 41,785.27 and 24,672.00 is: 36,827.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,993.39 : 41,785.27 = 24,672.00 : x
  2. Step 2: Convert to fraction form
    27,993.39/41,785.27 = 24,672.00/x
  3. Step 3: Cross multiply
    27,993.39x = 41,785.27 × 24,672.00
  4. Step 4: Simplify right side
    27,993.39x = 1,030,925,849.15
  5. Step 5: Solve for x
    x = 1,030,925,849.15/27,993.39
  6. Step 6: Final answer
    x = 36,827.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.