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Finding the Fourth Proportional to 33,200.46, 49,810.41 and 9,827.52

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Solution

The fourth proportional to 33,200.46, 49,810.41 and 9,827.52 is: 14,744.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,200.46 : 49,810.41 = 9,827.52 : x
  2. Step 2: Convert to fraction form
    33,200.46/49,810.41 = 9,827.52/x
  3. Step 3: Cross multiply
    33,200.46x = 49,810.41 × 9,827.52
  4. Step 4: Simplify right side
    33,200.46x = 489,512,800.48
  5. Step 5: Solve for x
    x = 489,512,800.48/33,200.46
  6. Step 6: Final answer
    x = 14,744.16

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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.