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Finding the Fourth Proportional to 49,148, 73,722 and 16,316

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Solution

The fourth proportional to 49,148, 73,722 and 16,316 is: 24,474

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,148 : 73,722 = 16,316 : x
  2. Step 2: Convert to fraction form
    49,148/73,722 = 16,316/x
  3. Step 3: Cross multiply
    49,148x = 73,722 × 16,316
  4. Step 4: Simplify right side
    49,148x = 1,202,848,152
  5. Step 5: Solve for x
    x = 1,202,848,152/49,148
  6. Step 6: Final answer
    x = 24,474

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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.