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Finding the Fourth Proportional to 33,597, 50,395.50 and 8,973

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Solution

The fourth proportional to 33,597, 50,395.50 and 8,973 is: 13,459.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,597 : 50,395.50 = 8,973 : x
  2. Step 2: Convert to fraction form
    33,597/50,395.50 = 8,973/x
  3. Step 3: Cross multiply
    33,597x = 50,395.50 × 8,973
  4. Step 4: Simplify right side
    33,597x = 452,198,821.50
  5. Step 5: Solve for x
    x = 452,198,821.50/33,597
  6. Step 6: Final answer
    x = 13,459.50

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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.