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Finding the Fourth Proportional to 114,885.24, 172,327.92 and 52,512

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Solution

The fourth proportional to 114,885.24, 172,327.92 and 52,512 is: 78,768.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,885.24 : 172,327.92 = 52,512 : x
  2. Step 2: Convert to fraction form
    114,885.24/172,327.92 = 52,512/x
  3. Step 3: Cross multiply
    114,885.24x = 172,327.92 × 52,512
  4. Step 4: Simplify right side
    114,885.24x = 9,049,283,735.04
  5. Step 5: Solve for x
    x = 9,049,283,735.04/114,885.24
  6. Step 6: Final answer
    x = 78,768.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.