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Finding the Fourth Proportional to 110,688.96, 166,016.89 and 30,718.50

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Solution

The fourth proportional to 110,688.96, 166,016.89 and 30,718.50 is: 46,073.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,688.96 : 166,016.89 = 30,718.50 : x
  2. Step 2: Convert to fraction form
    110,688.96/166,016.89 = 30,718.50/x
  3. Step 3: Cross multiply
    110,688.96x = 166,016.89 × 30,718.50
  4. Step 4: Simplify right side
    110,688.96x = 5,099,789,873.86
  5. Step 5: Solve for x
    x = 5,099,789,873.86/110,688.96
  6. Step 6: Final answer
    x = 46,073.16

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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.