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Finding the Fourth Proportional to 30,447.82, 45,675.38 and 10,722.30

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Solution

The fourth proportional to 30,447.82, 45,675.38 and 10,722.30 is: 16,084.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,447.82 : 45,675.38 = 10,722.30 : x
  2. Step 2: Convert to fraction form
    30,447.82/45,675.38 = 10,722.30/x
  3. Step 3: Cross multiply
    30,447.82x = 45,675.38 × 10,722.30
  4. Step 4: Simplify right side
    30,447.82x = 489,745,126.97
  5. Step 5: Solve for x
    x = 489,745,126.97/30,447.82
  6. Step 6: Final answer
    x = 16,084.74

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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.