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Finding the Fourth Proportional to 33,305.76, 49,963.68 and 9,929.52

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Solution

The fourth proportional to 33,305.76, 49,963.68 and 9,929.52 is: 14,895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,305.76 : 49,963.68 = 9,929.52 : x
  2. Step 2: Convert to fraction form
    33,305.76/49,963.68 = 9,929.52/x
  3. Step 3: Cross multiply
    33,305.76x = 49,963.68 × 9,929.52
  4. Step 4: Simplify right side
    33,305.76x = 496,115,359.83
  5. Step 5: Solve for x
    x = 496,115,359.83/33,305.76
  6. Step 6: Final answer
    x = 14,895.78

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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.