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Finding the Fourth Proportional to 106,329.96, 159,515.91 and 30,429.21

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Solution

The fourth proportional to 106,329.96, 159,515.91 and 30,429.21 is: 45,649.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,329.96 : 159,515.91 = 30,429.21 : x
  2. Step 2: Convert to fraction form
    106,329.96/159,515.91 = 30,429.21/x
  3. Step 3: Cross multiply
    106,329.96x = 159,515.91 × 30,429.21
  4. Step 4: Simplify right side
    106,329.96x = 4,853,943,123.73
  5. Step 5: Solve for x
    x = 4,853,943,123.73/106,329.96
  6. Step 6: Final answer
    x = 45,649.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.