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Finding the Fourth Proportional to 50,830.97, 70,145.88 and 28,169.88

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Solution

The fourth proportional to 50,830.97, 70,145.88 and 28,169.88 is: 38,873.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,830.97 : 70,145.88 = 28,169.88 : x
  2. Step 2: Convert to fraction form
    50,830.97/70,145.88 = 28,169.88/x
  3. Step 3: Cross multiply
    50,830.97x = 70,145.88 × 28,169.88
  4. Step 4: Simplify right side
    50,830.97x = 1,976,001,022.09
  5. Step 5: Solve for x
    x = 1,976,001,022.09/50,830.97
  6. Step 6: Final answer
    x = 38,873.96

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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.