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Finding the Fourth Proportional to 50,446.34, 75,673.87 and 13,006.09

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Solution

The fourth proportional to 50,446.34, 75,673.87 and 13,006.09 is: 19,510.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,446.34 : 75,673.87 = 13,006.09 : x
  2. Step 2: Convert to fraction form
    50,446.34/75,673.87 = 13,006.09/x
  3. Step 3: Cross multiply
    50,446.34x = 75,673.87 × 13,006.09
  4. Step 4: Simplify right side
    50,446.34x = 984,221,098.84
  5. Step 5: Solve for x
    x = 984,221,098.84/50,446.34
  6. Step 6: Final answer
    x = 19,510.26

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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.