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Finding the Fourth Proportional to 73,489.82, 110,147.24 and 51,182.42

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Solution

The fourth proportional to 73,489.82, 110,147.24 and 51,182.42 is: 76,712.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,489.82 : 110,147.24 = 51,182.42 : x
  2. Step 2: Convert to fraction form
    73,489.82/110,147.24 = 51,182.42/x
  3. Step 3: Cross multiply
    73,489.82x = 110,147.24 × 51,182.42
  4. Step 4: Simplify right side
    73,489.82x = 5,637,602,299.52
  5. Step 5: Solve for x
    x = 5,637,602,299.52/73,489.82
  6. Step 6: Final answer
    x = 76,712.70

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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.