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Finding the Fourth Proportional to 33,635.52, 50,458.68 and 10,260

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Solution

The fourth proportional to 33,635.52, 50,458.68 and 10,260 is: 15,391.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,635.52 : 50,458.68 = 10,260 : x
  2. Step 2: Convert to fraction form
    33,635.52/50,458.68 = 10,260/x
  3. Step 3: Cross multiply
    33,635.52x = 50,458.68 × 10,260
  4. Step 4: Simplify right side
    33,635.52x = 517,706,056.80
  5. Step 5: Solve for x
    x = 517,706,056.80/33,635.52
  6. Step 6: Final answer
    x = 15,391.65

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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.