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Finding the Fourth Proportional to 76,021.96, 114,060.10 and 33,898.27

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Solution

The fourth proportional to 76,021.96, 114,060.10 and 33,898.27 is: 50,859.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,021.96 : 114,060.10 = 33,898.27 : x
  2. Step 2: Convert to fraction form
    76,021.96/114,060.10 = 33,898.27/x
  3. Step 3: Cross multiply
    76,021.96x = 114,060.10 × 33,898.27
  4. Step 4: Simplify right side
    76,021.96x = 3,866,440,066.03
  5. Step 5: Solve for x
    x = 3,866,440,066.03/76,021.96
  6. Step 6: Final answer
    x = 50,859.52

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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.