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Finding the Fourth Proportional to 49,732, 74,598 and 16,900

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Solution

The fourth proportional to 49,732, 74,598 and 16,900 is: 25,350

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,732 : 74,598 = 16,900 : x
  2. Step 2: Convert to fraction form
    49,732/74,598 = 16,900/x
  3. Step 3: Cross multiply
    49,732x = 74,598 × 16,900
  4. Step 4: Simplify right side
    49,732x = 1,260,706,200
  5. Step 5: Solve for x
    x = 1,260,706,200/49,732
  6. Step 6: Final answer
    x = 25,350

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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.