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Finding the Fourth Proportional to 29,974.40, 44,961.60 and 9,195.20

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Solution

The fourth proportional to 29,974.40, 44,961.60 and 9,195.20 is: 13,792.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,974.40 : 44,961.60 = 9,195.20 : x
  2. Step 2: Convert to fraction form
    29,974.40/44,961.60 = 9,195.20/x
  3. Step 3: Cross multiply
    29,974.40x = 44,961.60 × 9,195.20
  4. Step 4: Simplify right side
    29,974.40x = 413,430,904.32
  5. Step 5: Solve for x
    x = 413,430,904.32/29,974.40
  6. Step 6: Final answer
    x = 13,792.80

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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.