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Finding the Fourth Proportional to 18,232.62, 27,350.46 and 5,085

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Solution

The fourth proportional to 18,232.62, 27,350.46 and 5,085 is: 7,627.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,232.62 : 27,350.46 = 5,085 : x
  2. Step 2: Convert to fraction form
    18,232.62/27,350.46 = 5,085/x
  3. Step 3: Cross multiply
    18,232.62x = 27,350.46 × 5,085
  4. Step 4: Simplify right side
    18,232.62x = 139,077,089.10
  5. Step 5: Solve for x
    x = 139,077,089.10/18,232.62
  6. Step 6: Final answer
    x = 7,627.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.