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Finding the Fourth Proportional to 33,056.96, 49,585.44 and 12,269.12

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Solution

The fourth proportional to 33,056.96, 49,585.44 and 12,269.12 is: 18,403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,056.96 : 49,585.44 = 12,269.12 : x
  2. Step 2: Convert to fraction form
    33,056.96/49,585.44 = 12,269.12/x
  3. Step 3: Cross multiply
    33,056.96x = 49,585.44 × 12,269.12
  4. Step 4: Simplify right side
    33,056.96x = 608,369,465.69
  5. Step 5: Solve for x
    x = 608,369,465.69/33,056.96
  6. Step 6: Final answer
    x = 18,403.68

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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.