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Finding the Fourth Proportional to 49,827.60, 74,692.80 and 44,578.80

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Solution

The fourth proportional to 49,827.60, 74,692.80 and 44,578.80 is: 66,824.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,827.60 : 74,692.80 = 44,578.80 : x
  2. Step 2: Convert to fraction form
    49,827.60/74,692.80 = 44,578.80/x
  3. Step 3: Cross multiply
    49,827.60x = 74,692.80 × 44,578.80
  4. Step 4: Simplify right side
    49,827.60x = 3,329,715,392.64
  5. Step 5: Solve for x
    x = 3,329,715,392.64/49,827.60
  6. Step 6: Final answer
    x = 66,824.72

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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.