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Finding the Fourth Proportional to 30,232.64, 45,363.78 and 13,604.42

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Solution

The fourth proportional to 30,232.64, 45,363.78 and 13,604.42 is: 20,413.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,232.64 : 45,363.78 = 13,604.42 : x
  2. Step 2: Convert to fraction form
    30,232.64/45,363.78 = 13,604.42/x
  3. Step 3: Cross multiply
    30,232.64x = 45,363.78 × 13,604.42
  4. Step 4: Simplify right side
    30,232.64x = 617,147,915.91
  5. Step 5: Solve for x
    x = 617,147,915.91/30,232.64
  6. Step 6: Final answer
    x = 20,413.30

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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.