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Finding the Fourth Proportional to 110,683.96, 165,927.32 and 40,546.87

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Solution

The fourth proportional to 110,683.96, 165,927.32 and 40,546.87 is: 60,784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,683.96 : 165,927.32 = 40,546.87 : x
  2. Step 2: Convert to fraction form
    110,683.96/165,927.32 = 40,546.87/x
  3. Step 3: Cross multiply
    110,683.96x = 165,927.32 × 40,546.87
  4. Step 4: Simplify right side
    110,683.96x = 6,727,833,007.99
  5. Step 5: Solve for x
    x = 6,727,833,007.99/110,683.96
  6. Step 6: Final answer
    x = 60,784.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.