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Finding the Fourth Proportional to 55,324.46, 82,960.76 and 20,239.58

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Solution

The fourth proportional to 55,324.46, 82,960.76 and 20,239.58 is: 30,349.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,324.46 : 82,960.76 = 20,239.58 : x
  2. Step 2: Convert to fraction form
    55,324.46/82,960.76 = 20,239.58/x
  3. Step 3: Cross multiply
    55,324.46x = 82,960.76 × 20,239.58
  4. Step 4: Simplify right side
    55,324.46x = 1,679,090,938.88
  5. Step 5: Solve for x
    x = 1,679,090,938.88/55,324.46
  6. Step 6: Final answer
    x = 30,349.88

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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.