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Finding the Fourth Proportional to 53,849.96, 74,249.38 and 36,862.44

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Solution

The fourth proportional to 53,849.96, 74,249.38 and 36,862.44 is: 50,826.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,849.96 : 74,249.38 = 36,862.44 : x
  2. Step 2: Convert to fraction form
    53,849.96/74,249.38 = 36,862.44/x
  3. Step 3: Cross multiply
    53,849.96x = 74,249.38 × 36,862.44
  4. Step 4: Simplify right side
    53,849.96x = 2,737,013,315.29
  5. Step 5: Solve for x
    x = 2,737,013,315.29/53,849.96
  6. Step 6: Final answer
    x = 50,826.65

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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.