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Finding the Fourth Proportional to 32,954.64, 49,438.44 and 12,178.32

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Solution

The fourth proportional to 32,954.64, 49,438.44 and 12,178.32 is: 18,269.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,954.64 : 49,438.44 = 12,178.32 : x
  2. Step 2: Convert to fraction form
    32,954.64/49,438.44 = 12,178.32/x
  3. Step 3: Cross multiply
    32,954.64x = 49,438.44 × 12,178.32
  4. Step 4: Simplify right side
    32,954.64x = 602,077,142.62
  5. Step 5: Solve for x
    x = 602,077,142.62/32,954.64
  6. Step 6: Final answer
    x = 18,269.87

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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.