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Finding the Fourth Proportional to 27,477.93, 41,152.78 and 20,064

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Solution

The fourth proportional to 27,477.93, 41,152.78 and 20,064 is: 30,049.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,477.93 : 41,152.78 = 20,064 : x
  2. Step 2: Convert to fraction form
    27,477.93/41,152.78 = 20,064/x
  3. Step 3: Cross multiply
    27,477.93x = 41,152.78 × 20,064
  4. Step 4: Simplify right side
    27,477.93x = 825,689,377.92
  5. Step 5: Solve for x
    x = 825,689,377.92/27,477.93
  6. Step 6: Final answer
    x = 30,049.18

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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.