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Finding the Fourth Proportional to 33,124.52, 49,686.78 and 8,500.52

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Solution

The fourth proportional to 33,124.52, 49,686.78 and 8,500.52 is: 12,750.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,124.52 : 49,686.78 = 8,500.52 : x
  2. Step 2: Convert to fraction form
    33,124.52/49,686.78 = 8,500.52/x
  3. Step 3: Cross multiply
    33,124.52x = 49,686.78 × 8,500.52
  4. Step 4: Simplify right side
    33,124.52x = 422,363,467.13
  5. Step 5: Solve for x
    x = 422,363,467.13/33,124.52
  6. Step 6: Final answer
    x = 12,750.78

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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.