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Finding the Fourth Proportional to 33,228.19, 49,827.55 and 9,530.34

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Solution

The fourth proportional to 33,228.19, 49,827.55 and 9,530.34 is: 14,291.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,228.19 : 49,827.55 = 9,530.34 : x
  2. Step 2: Convert to fraction form
    33,228.19/49,827.55 = 9,530.34/x
  3. Step 3: Cross multiply
    33,228.19x = 49,827.55 × 9,530.34
  4. Step 4: Simplify right side
    33,228.19x = 474,873,310.87
  5. Step 5: Solve for x
    x = 474,873,310.87/33,228.19
  6. Step 6: Final answer
    x = 14,291.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.