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Finding the Fourth Proportional to 53,367.33, 73,647.01 and 29,494

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Solution

The fourth proportional to 53,367.33, 73,647.01 and 29,494 is: 40,701.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,367.33 : 73,647.01 = 29,494 : x
  2. Step 2: Convert to fraction form
    53,367.33/73,647.01 = 29,494/x
  3. Step 3: Cross multiply
    53,367.33x = 73,647.01 × 29,494
  4. Step 4: Simplify right side
    53,367.33x = 2,172,144,912.94
  5. Step 5: Solve for x
    x = 2,172,144,912.94/53,367.33
  6. Step 6: Final answer
    x = 40,701.77

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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.