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Finding the Fourth Proportional to 105,685.08, 158,481.54 and 39,975

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Solution

The fourth proportional to 105,685.08, 158,481.54 and 39,975 is: 59,945.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,685.08 : 158,481.54 = 39,975 : x
  2. Step 2: Convert to fraction form
    105,685.08/158,481.54 = 39,975/x
  3. Step 3: Cross multiply
    105,685.08x = 158,481.54 × 39,975
  4. Step 4: Simplify right side
    105,685.08x = 6,335,299,561.50
  5. Step 5: Solve for x
    x = 6,335,299,561.50/105,685.08
  6. Step 6: Final answer
    x = 59,945.07

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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.