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Finding the Fourth Proportional to 32,713.96, 49,072.58 and 9,343.84

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Solution

The fourth proportional to 32,713.96, 49,072.58 and 9,343.84 is: 14,016.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,713.96 : 49,072.58 = 9,343.84 : x
  2. Step 2: Convert to fraction form
    32,713.96/49,072.58 = 9,343.84/x
  3. Step 3: Cross multiply
    32,713.96x = 49,072.58 × 9,343.84
  4. Step 4: Simplify right side
    32,713.96x = 458,526,335.91
  5. Step 5: Solve for x
    x = 458,526,335.91/32,713.96
  6. Step 6: Final answer
    x = 14,016.23

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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.