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Finding the Fourth Proportional to 49,182, 73,773 and 16,350

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Solution

The fourth proportional to 49,182, 73,773 and 16,350 is: 24,525

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,182 : 73,773 = 16,350 : x
  2. Step 2: Convert to fraction form
    49,182/73,773 = 16,350/x
  3. Step 3: Cross multiply
    49,182x = 73,773 × 16,350
  4. Step 4: Simplify right side
    49,182x = 1,206,188,550
  5. Step 5: Solve for x
    x = 1,206,188,550/49,182
  6. Step 6: Final answer
    x = 24,525

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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.