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Finding the Fourth Proportional to 51,792.97, 77,692.75 and 16,255.70

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Solution

The fourth proportional to 51,792.97, 77,692.75 and 16,255.70 is: 24,384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,792.97 : 77,692.75 = 16,255.70 : x
  2. Step 2: Convert to fraction form
    51,792.97/77,692.75 = 16,255.70/x
  3. Step 3: Cross multiply
    51,792.97x = 77,692.75 × 16,255.70
  4. Step 4: Simplify right side
    51,792.97x = 1,262,949,566.43
  5. Step 5: Solve for x
    x = 1,262,949,566.43/51,792.97
  6. Step 6: Final answer
    x = 24,384.57

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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.