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Finding the Fourth Proportional to 29,878.56, 44,817.90 and 7,692

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Solution

The fourth proportional to 29,878.56, 44,817.90 and 7,692 is: 11,538.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,878.56 : 44,817.90 = 7,692 : x
  2. Step 2: Convert to fraction form
    29,878.56/44,817.90 = 7,692/x
  3. Step 3: Cross multiply
    29,878.56x = 44,817.90 × 7,692
  4. Step 4: Simplify right side
    29,878.56x = 344,739,286.80
  5. Step 5: Solve for x
    x = 344,739,286.80/29,878.56
  6. Step 6: Final answer
    x = 11,538.02

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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.