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Finding the Fourth Proportional to 106,185.52, 159,112.99 and 39,607.75

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Solution

The fourth proportional to 106,185.52, 159,112.99 and 39,607.75 is: 59,349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,185.52 : 159,112.99 = 39,607.75 : x
  2. Step 2: Convert to fraction form
    106,185.52/159,112.99 = 39,607.75/x
  3. Step 3: Cross multiply
    106,185.52x = 159,112.99 × 39,607.75
  4. Step 4: Simplify right side
    106,185.52x = 6,302,107,529.67
  5. Step 5: Solve for x
    x = 6,302,107,529.67/106,185.52
  6. Step 6: Final answer
    x = 59,349.97

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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.