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Finding the Fourth Proportional to 32,066.70, 48,096.36 and 13,349.61

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Solution

The fourth proportional to 32,066.70, 48,096.36 and 13,349.61 is: 20,022.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,066.70 : 48,096.36 = 13,349.61 : x
  2. Step 2: Convert to fraction form
    32,066.70/48,096.36 = 13,349.61/x
  3. Step 3: Cross multiply
    32,066.70x = 48,096.36 × 13,349.61
  4. Step 4: Simplify right side
    32,066.70x = 642,067,648.42
  5. Step 5: Solve for x
    x = 642,067,648.42/32,066.70
  6. Step 6: Final answer
    x = 20,022.88

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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.