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Finding the Fourth Proportional to 29,961.60, 44,942.40 and 9,182.40

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Solution

The fourth proportional to 29,961.60, 44,942.40 and 9,182.40 is: 13,773.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,961.60 : 44,942.40 = 9,182.40 : x
  2. Step 2: Convert to fraction form
    29,961.60/44,942.40 = 9,182.40/x
  3. Step 3: Cross multiply
    29,961.60x = 44,942.40 × 9,182.40
  4. Step 4: Simplify right side
    29,961.60x = 412,679,093.76
  5. Step 5: Solve for x
    x = 412,679,093.76/29,961.60
  6. Step 6: Final answer
    x = 13,773.60

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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.