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Finding the Fourth Proportional to 49,195, 73,792.50 and 16,363

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Solution

The fourth proportional to 49,195, 73,792.50 and 16,363 is: 24,544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,195 : 73,792.50 = 16,363 : x
  2. Step 2: Convert to fraction form
    49,195/73,792.50 = 16,363/x
  3. Step 3: Cross multiply
    49,195x = 73,792.50 × 16,363
  4. Step 4: Simplify right side
    49,195x = 1,207,466,677.50
  5. Step 5: Solve for x
    x = 1,207,466,677.50/49,195
  6. Step 6: Final answer
    x = 24,544.50

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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.