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Finding the Fourth Proportional to 51,906.42, 77,843.16 and 16,837.74

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Solution

The fourth proportional to 51,906.42, 77,843.16 and 16,837.74 is: 25,251.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,906.42 : 77,843.16 = 16,837.74 : x
  2. Step 2: Convert to fraction form
    51,906.42/77,843.16 = 16,837.74/x
  3. Step 3: Cross multiply
    51,906.42x = 77,843.16 × 16,837.74
  4. Step 4: Simplify right side
    51,906.42x = 1,310,702,888.86
  5. Step 5: Solve for x
    x = 1,310,702,888.86/51,906.42
  6. Step 6: Final answer
    x = 25,251.27

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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.