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Finding the Fourth Proportional to 30,193.84, 45,280.52 and 11,469.36

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Solution

The fourth proportional to 30,193.84, 45,280.52 and 11,469.36 is: 17,200.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,193.84 : 45,280.52 = 11,469.36 : x
  2. Step 2: Convert to fraction form
    30,193.84/45,280.52 = 11,469.36/x
  3. Step 3: Cross multiply
    30,193.84x = 45,280.52 × 11,469.36
  4. Step 4: Simplify right side
    30,193.84x = 519,338,584.87
  5. Step 5: Solve for x
    x = 519,338,584.87/30,193.84
  6. Step 6: Final answer
    x = 17,200.15

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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.