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Finding the Fourth Proportional to 107,682.89, 161,424.52 and 47,679.41

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Solution

The fourth proportional to 107,682.89, 161,424.52 and 47,679.41 is: 71,474.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,682.89 : 161,424.52 = 47,679.41 : x
  2. Step 2: Convert to fraction form
    107,682.89/161,424.52 = 47,679.41/x
  3. Step 3: Cross multiply
    107,682.89x = 161,424.52 × 47,679.41
  4. Step 4: Simplify right side
    107,682.89x = 7,696,625,837.59
  5. Step 5: Solve for x
    x = 7,696,625,837.59/107,682.89
  6. Step 6: Final answer
    x = 71,474.92

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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.