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Finding the Fourth Proportional to 33,303.68, 49,965.51 and 14,078.54

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Solution

The fourth proportional to 33,303.68, 49,965.51 and 14,078.54 is: 21,122.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,303.68 : 49,965.51 = 14,078.54 : x
  2. Step 2: Convert to fraction form
    33,303.68/49,965.51 = 14,078.54/x
  3. Step 3: Cross multiply
    33,303.68x = 49,965.51 × 14,078.54
  4. Step 4: Simplify right side
    33,303.68x = 703,441,431.16
  5. Step 5: Solve for x
    x = 703,441,431.16/33,303.68
  6. Step 6: Final answer
    x = 21,122.03

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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.