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Finding the Fourth Proportional to 49,142, 73,713 and 16,310

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Solution

The fourth proportional to 49,142, 73,713 and 16,310 is: 24,465

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,142 : 73,713 = 16,310 : x
  2. Step 2: Convert to fraction form
    49,142/73,713 = 16,310/x
  3. Step 3: Cross multiply
    49,142x = 73,713 × 16,310
  4. Step 4: Simplify right side
    49,142x = 1,202,259,030
  5. Step 5: Solve for x
    x = 1,202,259,030/49,142
  6. Step 6: Final answer
    x = 24,465

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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.