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Finding the Fourth Proportional to 99,830.27, 137,771.36 and 54,512.48

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Solution

The fourth proportional to 99,830.27, 137,771.36 and 54,512.48 is: 75,230.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,830.27 : 137,771.36 = 54,512.48 : x
  2. Step 2: Convert to fraction form
    99,830.27/137,771.36 = 54,512.48/x
  3. Step 3: Cross multiply
    99,830.27x = 137,771.36 × 54,512.48
  4. Step 4: Simplify right side
    99,830.27x = 7,510,257,954.00
  5. Step 5: Solve for x
    x = 7,510,257,954.00/99,830.27
  6. Step 6: Final answer
    x = 75,230.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.