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Finding the Fourth Proportional to 32,378.82, 44,683.59 and 18,232.14

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Solution

The fourth proportional to 32,378.82, 44,683.59 and 18,232.14 is: 25,160.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,378.82 : 44,683.59 = 18,232.14 : x
  2. Step 2: Convert to fraction form
    32,378.82/44,683.59 = 18,232.14/x
  3. Step 3: Cross multiply
    32,378.82x = 44,683.59 × 18,232.14
  4. Step 4: Simplify right side
    32,378.82x = 814,677,468.58
  5. Step 5: Solve for x
    x = 814,677,468.58/32,378.82
  6. Step 6: Final answer
    x = 25,160.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.