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Finding the Fourth Proportional to 110,723.42, 165,835.42 and 51,434.33

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Solution

The fourth proportional to 110,723.42, 165,835.42 and 51,434.33 is: 77,035.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,723.42 : 165,835.42 = 51,434.33 : x
  2. Step 2: Convert to fraction form
    110,723.42/165,835.42 = 51,434.33/x
  3. Step 3: Cross multiply
    110,723.42x = 165,835.42 × 51,434.33
  4. Step 4: Simplify right side
    110,723.42x = 8,529,632,760.21
  5. Step 5: Solve for x
    x = 8,529,632,760.21/110,723.42
  6. Step 6: Final answer
    x = 77,035.49

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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.