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Finding the Fourth Proportional to 30,099.84, 45,169.76 and 13,454.24

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Solution

The fourth proportional to 30,099.84, 45,169.76 and 13,454.24 is: 20,190.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,099.84 : 45,169.76 = 13,454.24 : x
  2. Step 2: Convert to fraction form
    30,099.84/45,169.76 = 13,454.24/x
  3. Step 3: Cross multiply
    30,099.84x = 45,169.76 × 13,454.24
  4. Step 4: Simplify right side
    30,099.84x = 607,724,791.78
  5. Step 5: Solve for x
    x = 607,724,791.78/30,099.84
  6. Step 6: Final answer
    x = 20,190.30

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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.