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Finding the Fourth Proportional to 54,700.49, 82,083.02 and 23,108.50

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Solution

The fourth proportional to 54,700.49, 82,083.02 and 23,108.50 is: 34,676.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,700.49 : 82,083.02 = 23,108.50 : x
  2. Step 2: Convert to fraction form
    54,700.49/82,083.02 = 23,108.50/x
  3. Step 3: Cross multiply
    54,700.49x = 82,083.02 × 23,108.50
  4. Step 4: Simplify right side
    54,700.49x = 1,896,815,146.92
  5. Step 5: Solve for x
    x = 1,896,815,146.92/54,700.49
  6. Step 6: Final answer
    x = 34,676.38

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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.