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Finding the Fourth Proportional to 33,203.08, 49,804.50 and 9,827.68

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Solution

The fourth proportional to 33,203.08, 49,804.50 and 9,827.68 is: 14,741.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,203.08 : 49,804.50 = 9,827.68 : x
  2. Step 2: Convert to fraction form
    33,203.08/49,804.50 = 9,827.68/x
  3. Step 3: Cross multiply
    33,203.08x = 49,804.50 × 9,827.68
  4. Step 4: Simplify right side
    33,203.08x = 489,462,688.56
  5. Step 5: Solve for x
    x = 489,462,688.56/33,203.08
  6. Step 6: Final answer
    x = 14,741.48

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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.