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Finding the Fourth Proportional to 54,672.16, 82,034.16 and 23,516.32

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Solution

The fourth proportional to 54,672.16, 82,034.16 and 23,516.32 is: 35,285.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,672.16 : 82,034.16 = 23,516.32 : x
  2. Step 2: Convert to fraction form
    54,672.16/82,034.16 = 23,516.32/x
  3. Step 3: Cross multiply
    54,672.16x = 82,034.16 × 23,516.32
  4. Step 4: Simplify right side
    54,672.16x = 1,929,141,557.49
  5. Step 5: Solve for x
    x = 1,929,141,557.49/54,672.16
  6. Step 6: Final answer
    x = 35,285.63

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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.