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Finding the Fourth Proportional to 33,628.52, 50,431.01 and 9,929.75

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Solution

The fourth proportional to 33,628.52, 50,431.01 and 9,929.75 is: 14,891.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,628.52 : 50,431.01 = 9,929.75 : x
  2. Step 2: Convert to fraction form
    33,628.52/50,431.01 = 9,929.75/x
  3. Step 3: Cross multiply
    33,628.52x = 50,431.01 × 9,929.75
  4. Step 4: Simplify right side
    33,628.52x = 500,767,019.74
  5. Step 5: Solve for x
    x = 500,767,019.74/33,628.52
  6. Step 6: Final answer
    x = 14,891.14

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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.