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Finding the Fourth Proportional to 33,799, 50,698.50 and 9,175

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Solution

The fourth proportional to 33,799, 50,698.50 and 9,175 is: 13,762.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,799 : 50,698.50 = 9,175 : x
  2. Step 2: Convert to fraction form
    33,799/50,698.50 = 9,175/x
  3. Step 3: Cross multiply
    33,799x = 50,698.50 × 9,175
  4. Step 4: Simplify right side
    33,799x = 465,158,737.50
  5. Step 5: Solve for x
    x = 465,158,737.50/33,799
  6. Step 6: Final answer
    x = 13,762.50

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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.