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Finding the Fourth Proportional to 29,685.32, 44,523.62 and 11,213

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Solution

The fourth proportional to 29,685.32, 44,523.62 and 11,213 is: 16,817.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,685.32 : 44,523.62 = 11,213 : x
  2. Step 2: Convert to fraction form
    29,685.32/44,523.62 = 11,213/x
  3. Step 3: Cross multiply
    29,685.32x = 44,523.62 × 11,213
  4. Step 4: Simplify right side
    29,685.32x = 499,243,351.06
  5. Step 5: Solve for x
    x = 499,243,351.06/29,685.32
  6. Step 6: Final answer
    x = 16,817.85

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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.