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Finding the Fourth Proportional to 32,194.50, 48,287.66 and 12,459.56

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Solution

The fourth proportional to 32,194.50, 48,287.66 and 12,459.56 is: 18,687.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,194.50 : 48,287.66 = 12,459.56 : x
  2. Step 2: Convert to fraction form
    32,194.50/48,287.66 = 12,459.56/x
  3. Step 3: Cross multiply
    32,194.50x = 48,287.66 × 12,459.56
  4. Step 4: Simplify right side
    32,194.50x = 601,642,997.03
  5. Step 5: Solve for x
    x = 601,642,997.03/32,194.50
  6. Step 6: Final answer
    x = 18,687.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.