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Finding the Fourth Proportional to 45,692.64, 68,460.66 and 30,671.64

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Solution

The fourth proportional to 45,692.64, 68,460.66 and 30,671.64 is: 45,954.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,692.64 : 68,460.66 = 30,671.64 : x
  2. Step 2: Convert to fraction form
    45,692.64/68,460.66 = 30,671.64/x
  3. Step 3: Cross multiply
    45,692.64x = 68,460.66 × 30,671.64
  4. Step 4: Simplify right side
    45,692.64x = 2,099,800,717.68
  5. Step 5: Solve for x
    x = 2,099,800,717.68/45,692.64
  6. Step 6: Final answer
    x = 45,954.90

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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.