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Finding the Fourth Proportional to 32,257.92, 48,405.54 and 13,536.27

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Solution

The fourth proportional to 32,257.92, 48,405.54 and 13,536.27 is: 20,312.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,257.92 : 48,405.54 = 13,536.27 : x
  2. Step 2: Convert to fraction form
    32,257.92/48,405.54 = 13,536.27/x
  3. Step 3: Cross multiply
    32,257.92x = 48,405.54 × 13,536.27
  4. Step 4: Simplify right side
    32,257.92x = 655,230,458.94
  5. Step 5: Solve for x
    x = 655,230,458.94/32,257.92
  6. Step 6: Final answer
    x = 20,312.24

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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.