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Finding the Fourth Proportional to 49,571.68, 74,342.16 and 16,732

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Solution

The fourth proportional to 49,571.68, 74,342.16 and 16,732 is: 25,092.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,571.68 : 74,342.16 = 16,732 : x
  2. Step 2: Convert to fraction form
    49,571.68/74,342.16 = 16,732/x
  3. Step 3: Cross multiply
    49,571.68x = 74,342.16 × 16,732
  4. Step 4: Simplify right side
    49,571.68x = 1,243,893,021.12
  5. Step 5: Solve for x
    x = 1,243,893,021.12/49,571.68
  6. Step 6: Final answer
    x = 25,092.82

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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.