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Finding the Fourth Proportional to 45,234.30, 67,824.09 and 20,269.74

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Solution

The fourth proportional to 45,234.30, 67,824.09 and 20,269.74 is: 30,392.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,234.30 : 67,824.09 = 20,269.74 : x
  2. Step 2: Convert to fraction form
    45,234.30/67,824.09 = 20,269.74/x
  3. Step 3: Cross multiply
    45,234.30x = 67,824.09 × 20,269.74
  4. Step 4: Simplify right side
    45,234.30x = 1,374,776,670.04
  5. Step 5: Solve for x
    x = 1,374,776,670.04/45,234.30
  6. Step 6: Final answer
    x = 30,392.35

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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.