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Finding the Fourth Proportional to 32,767.40, 49,200.35 and 18,743.27

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Solution

The fourth proportional to 32,767.40, 49,200.35 and 18,743.27 is: 28,143.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,767.40 : 49,200.35 = 18,743.27 : x
  2. Step 2: Convert to fraction form
    32,767.40/49,200.35 = 18,743.27/x
  3. Step 3: Cross multiply
    32,767.40x = 49,200.35 × 18,743.27
  4. Step 4: Simplify right side
    32,767.40x = 922,175,104.43
  5. Step 5: Solve for x
    x = 922,175,104.43/32,767.40
  6. Step 6: Final answer
    x = 28,143.06

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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.