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Finding the Fourth Proportional to 32,087.92, 48,131.76 and 8,714.32

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Solution

The fourth proportional to 32,087.92, 48,131.76 and 8,714.32 is: 13,071.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,087.92 : 48,131.76 = 8,714.32 : x
  2. Step 2: Convert to fraction form
    32,087.92/48,131.76 = 8,714.32/x
  3. Step 3: Cross multiply
    32,087.92x = 48,131.76 × 8,714.32
  4. Step 4: Simplify right side
    32,087.92x = 419,435,558.80
  5. Step 5: Solve for x
    x = 419,435,558.80/32,087.92
  6. Step 6: Final answer
    x = 13,071.45

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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.