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Finding the Fourth Proportional to 71,459.96, 107,180.02 and 50,047.82

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Solution

The fourth proportional to 71,459.96, 107,180.02 and 50,047.82 is: 75,064.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,459.96 : 107,180.02 = 50,047.82 : x
  2. Step 2: Convert to fraction form
    71,459.96/107,180.02 = 50,047.82/x
  3. Step 3: Cross multiply
    71,459.96x = 107,180.02 × 50,047.82
  4. Step 4: Simplify right side
    71,459.96x = 5,364,125,687.54
  5. Step 5: Solve for x
    x = 5,364,125,687.54/71,459.96
  6. Step 6: Final answer
    x = 75,064.77

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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.