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Finding the Fourth Proportional to 33,873.60, 50,804.64 and 9,243.84

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Solution

The fourth proportional to 33,873.60, 50,804.64 and 9,243.84 is: 13,864.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,873.60 : 50,804.64 = 9,243.84 : x
  2. Step 2: Convert to fraction form
    33,873.60/50,804.64 = 9,243.84/x
  3. Step 3: Cross multiply
    33,873.60x = 50,804.64 × 9,243.84
  4. Step 4: Simplify right side
    33,873.60x = 469,629,963.42
  5. Step 5: Solve for x
    x = 469,629,963.42/33,873.60
  6. Step 6: Final answer
    x = 13,864.19

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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.