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Finding the Fourth Proportional to 50,823, 70,135.74 and 28,467

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Solution

The fourth proportional to 50,823, 70,135.74 and 28,467 is: 39,284.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,823 : 70,135.74 = 28,467 : x
  2. Step 2: Convert to fraction form
    50,823/70,135.74 = 28,467/x
  3. Step 3: Cross multiply
    50,823x = 70,135.74 × 28,467
  4. Step 4: Simplify right side
    50,823x = 1,996,554,110.58
  5. Step 5: Solve for x
    x = 1,996,554,110.58/50,823
  6. Step 6: Final answer
    x = 39,284.46

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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.