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Finding the Fourth Proportional to 50,922, 70,273.44 and 28,566

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Solution

The fourth proportional to 50,922, 70,273.44 and 28,566 is: 39,421.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,922 : 70,273.44 = 28,566 : x
  2. Step 2: Convert to fraction form
    50,922/70,273.44 = 28,566/x
  3. Step 3: Cross multiply
    50,922x = 70,273.44 × 28,566
  4. Step 4: Simplify right side
    50,922x = 2,007,431,087.04
  5. Step 5: Solve for x
    x = 2,007,431,087.04/50,922
  6. Step 6: Final answer
    x = 39,421.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.