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Finding the Fourth Proportional to 82,324.74, 123,472.80 and 23,146.37

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Solution

The fourth proportional to 82,324.74, 123,472.80 and 23,146.37 is: 34,715.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,324.74 : 123,472.80 = 23,146.37 : x
  2. Step 2: Convert to fraction form
    82,324.74/123,472.80 = 23,146.37/x
  3. Step 3: Cross multiply
    82,324.74x = 123,472.80 × 23,146.37
  4. Step 4: Simplify right side
    82,324.74x = 2,857,946,496.37
  5. Step 5: Solve for x
    x = 2,857,946,496.37/82,324.74
  6. Step 6: Final answer
    x = 34,715.52

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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.