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Finding the Fourth Proportional to 32,914.32, 49,381.04 and 11,853.96

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Solution

The fourth proportional to 32,914.32, 49,381.04 and 11,853.96 is: 17,784.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,914.32 : 49,381.04 = 11,853.96 : x
  2. Step 2: Convert to fraction form
    32,914.32/49,381.04 = 11,853.96/x
  3. Step 3: Cross multiply
    32,914.32x = 49,381.04 × 11,853.96
  4. Step 4: Simplify right side
    32,914.32x = 585,360,872.92
  5. Step 5: Solve for x
    x = 585,360,872.92/32,914.32
  6. Step 6: Final answer
    x = 17,784.38

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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.