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Finding the Fourth Proportional to 53,329, 80,006.46 and 16,393

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Solution

The fourth proportional to 53,329, 80,006.46 and 16,393 is: 24,593.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,329 : 80,006.46 = 16,393 : x
  2. Step 2: Convert to fraction form
    53,329/80,006.46 = 16,393/x
  3. Step 3: Cross multiply
    53,329x = 80,006.46 × 16,393
  4. Step 4: Simplify right side
    53,329x = 1,311,545,898.78
  5. Step 5: Solve for x
    x = 1,311,545,898.78/53,329
  6. Step 6: Final answer
    x = 24,593.48

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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.