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Finding the Fourth Proportional to 32,103.84, 48,157.13 and 8,730.28

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Solution

The fourth proportional to 32,103.84, 48,157.13 and 8,730.28 is: 13,095.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,103.84 : 48,157.13 = 8,730.28 : x
  2. Step 2: Convert to fraction form
    32,103.84/48,157.13 = 8,730.28/x
  3. Step 3: Cross multiply
    32,103.84x = 48,157.13 × 8,730.28
  4. Step 4: Simplify right side
    32,103.84x = 420,425,310.92
  5. Step 5: Solve for x
    x = 420,425,310.92/32,103.84
  6. Step 6: Final answer
    x = 13,095.79

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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.