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Finding the Fourth Proportional to 32,080.69, 48,129.24 and 13,354.50

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Solution

The fourth proportional to 32,080.69, 48,129.24 and 13,354.50 is: 20,035.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,080.69 : 48,129.24 = 13,354.50 : x
  2. Step 2: Convert to fraction form
    32,080.69/48,129.24 = 13,354.50/x
  3. Step 3: Cross multiply
    32,080.69x = 48,129.24 × 13,354.50
  4. Step 4: Simplify right side
    32,080.69x = 642,741,935.58
  5. Step 5: Solve for x
    x = 642,741,935.58/32,080.69
  6. Step 6: Final answer
    x = 20,035.17

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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.