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Finding the Fourth Proportional to 114,771.71, 172,181.93 and 35,891.88

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Solution

The fourth proportional to 114,771.71, 172,181.93 and 35,891.88 is: 53,845.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,771.71 : 172,181.93 = 35,891.88 : x
  2. Step 2: Convert to fraction form
    114,771.71/172,181.93 = 35,891.88/x
  3. Step 3: Cross multiply
    114,771.71x = 172,181.93 × 35,891.88
  4. Step 4: Simplify right side
    114,771.71x = 6,179,932,990.27
  5. Step 5: Solve for x
    x = 6,179,932,990.27/114,771.71
  6. Step 6: Final answer
    x = 53,845.44

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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.