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Finding the Fourth Proportional to 32,160.24, 48,241.68 and 8,786.64

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Solution

The fourth proportional to 32,160.24, 48,241.68 and 8,786.64 is: 13,180.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,160.24 : 48,241.68 = 8,786.64 : x
  2. Step 2: Convert to fraction form
    32,160.24/48,241.68 = 8,786.64/x
  3. Step 3: Cross multiply
    32,160.24x = 48,241.68 × 8,786.64
  4. Step 4: Simplify right side
    32,160.24x = 423,882,275.16
  5. Step 5: Solve for x
    x = 423,882,275.16/32,160.24
  6. Step 6: Final answer
    x = 13,180.32

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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.