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Finding the Fourth Proportional to 49,644.50, 74,462.69 and 16,364.03

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Solution

The fourth proportional to 49,644.50, 74,462.69 and 16,364.03 is: 24,544.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,644.50 : 74,462.69 = 16,364.03 : x
  2. Step 2: Convert to fraction form
    49,644.50/74,462.69 = 16,364.03/x
  3. Step 3: Cross multiply
    49,644.50x = 74,462.69 × 16,364.03
  4. Step 4: Simplify right side
    49,644.50x = 1,218,509,361.64
  5. Step 5: Solve for x
    x = 1,218,509,361.64/49,644.50
  6. Step 6: Final answer
    x = 24,544.70

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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.