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Finding the Fourth Proportional to 82,541.62, 123,794.81 and 23,361.40

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Solution

The fourth proportional to 82,541.62, 123,794.81 and 23,361.40 is: 35,037.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,541.62 : 123,794.81 = 23,361.40 : x
  2. Step 2: Convert to fraction form
    82,541.62/123,794.81 = 23,361.40/x
  3. Step 3: Cross multiply
    82,541.62x = 123,794.81 × 23,361.40
  4. Step 4: Simplify right side
    82,541.62x = 2,892,020,074.33
  5. Step 5: Solve for x
    x = 2,892,020,074.33/82,541.62
  6. Step 6: Final answer
    x = 35,037.11

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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.