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Finding the Fourth Proportional to 29,692.68, 44,532 and 8,627.10

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Solution

The fourth proportional to 29,692.68, 44,532 and 8,627.10 is: 12,938.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,692.68 : 44,532 = 8,627.10 : x
  2. Step 2: Convert to fraction form
    29,692.68/44,532 = 8,627.10/x
  3. Step 3: Cross multiply
    29,692.68x = 44,532 × 8,627.10
  4. Step 4: Simplify right side
    29,692.68x = 384,182,017.20
  5. Step 5: Solve for x
    x = 384,182,017.20/29,692.68
  6. Step 6: Final answer
    x = 12,938.61

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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.