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Finding the Fourth Proportional to 49,314, 73,971 and 16,482

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Solution

The fourth proportional to 49,314, 73,971 and 16,482 is: 24,723

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,314 : 73,971 = 16,482 : x
  2. Step 2: Convert to fraction form
    49,314/73,971 = 16,482/x
  3. Step 3: Cross multiply
    49,314x = 73,971 × 16,482
  4. Step 4: Simplify right side
    49,314x = 1,219,190,022
  5. Step 5: Solve for x
    x = 1,219,190,022/49,314
  6. Step 6: Final answer
    x = 24,723

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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.