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Finding the Fourth Proportional to 32,132.54, 48,212.68 and 12,424.98

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Solution

The fourth proportional to 32,132.54, 48,212.68 and 12,424.98 is: 18,642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,132.54 : 48,212.68 = 12,424.98 : x
  2. Step 2: Convert to fraction form
    32,132.54/48,212.68 = 12,424.98/x
  3. Step 3: Cross multiply
    32,132.54x = 48,212.68 × 12,424.98
  4. Step 4: Simplify right side
    32,132.54x = 599,041,584.75
  5. Step 5: Solve for x
    x = 599,041,584.75/32,132.54
  6. Step 6: Final answer
    x = 18,642.83

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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.