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Finding the Fourth Proportional to 33,283, 49,924.50 and 8,659

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Solution

The fourth proportional to 33,283, 49,924.50 and 8,659 is: 12,988.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,283 : 49,924.50 = 8,659 : x
  2. Step 2: Convert to fraction form
    33,283/49,924.50 = 8,659/x
  3. Step 3: Cross multiply
    33,283x = 49,924.50 × 8,659
  4. Step 4: Simplify right side
    33,283x = 432,296,245.50
  5. Step 5: Solve for x
    x = 432,296,245.50/33,283
  6. Step 6: Final answer
    x = 12,988.50

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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.