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Finding the Fourth Proportional to 82,243.23, 123,358.50 and 23,076.51

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Solution

The fourth proportional to 82,243.23, 123,358.50 and 23,076.51 is: 34,612.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,243.23 : 123,358.50 = 23,076.51 : x
  2. Step 2: Convert to fraction form
    82,243.23/123,358.50 = 23,076.51/x
  3. Step 3: Cross multiply
    82,243.23x = 123,358.50 × 23,076.51
  4. Step 4: Simplify right side
    82,243.23x = 2,846,683,658.84
  5. Step 5: Solve for x
    x = 2,846,683,658.84/82,243.23
  6. Step 6: Final answer
    x = 34,612.98

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