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Finding the Fourth Proportional to 32,231.28, 48,349.26 and 13,492.47

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Solution

The fourth proportional to 32,231.28, 48,349.26 and 13,492.47 is: 20,239.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,231.28 : 48,349.26 = 13,492.47 : x
  2. Step 2: Convert to fraction form
    32,231.28/48,349.26 = 13,492.47/x
  3. Step 3: Cross multiply
    32,231.28x = 48,349.26 × 13,492.47
  4. Step 4: Simplify right side
    32,231.28x = 652,350,940.07
  5. Step 5: Solve for x
    x = 652,350,940.07/32,231.28
  6. Step 6: Final answer
    x = 20,239.68

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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.