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Finding the Fourth Proportional to 106,402.44, 159,608.52 and 39,825.30

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Solution

The fourth proportional to 106,402.44, 159,608.52 and 39,825.30 is: 59,739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,402.44 : 159,608.52 = 39,825.30 : x
  2. Step 2: Convert to fraction form
    106,402.44/159,608.52 = 39,825.30/x
  3. Step 3: Cross multiply
    106,402.44x = 159,608.52 × 39,825.30
  4. Step 4: Simplify right side
    106,402.44x = 6,356,457,191.56
  5. Step 5: Solve for x
    x = 6,356,457,191.56/106,402.44
  6. Step 6: Final answer
    x = 59,739.77

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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.