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Finding the Fourth Proportional to 52,168.30, 78,224.13 and 23,689.62

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Solution

The fourth proportional to 52,168.30, 78,224.13 and 23,689.62 is: 35,521.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,168.30 : 78,224.13 = 23,689.62 : x
  2. Step 2: Convert to fraction form
    52,168.30/78,224.13 = 23,689.62/x
  3. Step 3: Cross multiply
    52,168.30x = 78,224.13 × 23,689.62
  4. Step 4: Simplify right side
    52,168.30x = 1,853,099,914.53
  5. Step 5: Solve for x
    x = 1,853,099,914.53/52,168.30
  6. Step 6: Final answer
    x = 35,521.57

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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.