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Finding the Fourth Proportional to 45,722.67, 68,584.02 and 19,408.96

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Solution

The fourth proportional to 45,722.67, 68,584.02 and 19,408.96 is: 29,113.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,722.67 : 68,584.02 = 19,408.96 : x
  2. Step 2: Convert to fraction form
    45,722.67/68,584.02 = 19,408.96/x
  3. Step 3: Cross multiply
    45,722.67x = 68,584.02 × 19,408.96
  4. Step 4: Simplify right side
    45,722.67x = 1,331,144,500.82
  5. Step 5: Solve for x
    x = 1,331,144,500.82/45,722.67
  6. Step 6: Final answer
    x = 29,113.45

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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.