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Finding the Fourth Proportional to 83,072.50, 114,600.12 and 54,379.51

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Solution

The fourth proportional to 83,072.50, 114,600.12 and 54,379.51 is: 75,017.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,072.50 : 114,600.12 = 54,379.51 : x
  2. Step 2: Convert to fraction form
    83,072.50/114,600.12 = 54,379.51/x
  3. Step 3: Cross multiply
    83,072.50x = 114,600.12 × 54,379.51
  4. Step 4: Simplify right side
    83,072.50x = 6,231,898,371.54
  5. Step 5: Solve for x
    x = 6,231,898,371.54/83,072.50
  6. Step 6: Final answer
    x = 75,017.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.