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Finding the Fourth Proportional to 76,241.44, 105,217.68 and 42,712.48

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Solution

The fourth proportional to 76,241.44, 105,217.68 and 42,712.48 is: 58,945.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,241.44 : 105,217.68 = 42,712.48 : x
  2. Step 2: Convert to fraction form
    76,241.44/105,217.68 = 42,712.48/x
  3. Step 3: Cross multiply
    76,241.44x = 105,217.68 × 42,712.48
  4. Step 4: Simplify right side
    76,241.44x = 4,494,108,052.65
  5. Step 5: Solve for x
    x = 4,494,108,052.65/76,241.44
  6. Step 6: Final answer
    x = 58,945.74

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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.