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Finding the Fourth Proportional to 76,023.51, 104,912.18 and 42,489.51

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Solution

The fourth proportional to 76,023.51, 104,912.18 and 42,489.51 is: 58,635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,023.51 : 104,912.18 = 42,489.51 : x
  2. Step 2: Convert to fraction form
    76,023.51/104,912.18 = 42,489.51/x
  3. Step 3: Cross multiply
    76,023.51x = 104,912.18 × 42,489.51
  4. Step 4: Simplify right side
    76,023.51x = 4,457,667,121.23
  5. Step 5: Solve for x
    x = 4,457,667,121.23/76,023.51
  6. Step 6: Final answer
    x = 58,635.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.