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Finding the Fourth Proportional to 53,542, 80,324.44 and 16,098.94

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Solution

The fourth proportional to 53,542, 80,324.44 and 16,098.94 is: 24,151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,542 : 80,324.44 = 16,098.94 : x
  2. Step 2: Convert to fraction form
    53,542/80,324.44 = 16,098.94/x
  3. Step 3: Cross multiply
    53,542x = 80,324.44 × 16,098.94
  4. Step 4: Simplify right side
    53,542x = 1,293,138,340.09
  5. Step 5: Solve for x
    x = 1,293,138,340.09/53,542
  6. Step 6: Final answer
    x = 24,151.85

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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.