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Finding the Fourth Proportional to 32,170.86, 48,252.65 and 12,444.12

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Solution

The fourth proportional to 32,170.86, 48,252.65 and 12,444.12 is: 18,664.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,170.86 : 48,252.65 = 12,444.12 : x
  2. Step 2: Convert to fraction form
    32,170.86/48,252.65 = 12,444.12/x
  3. Step 3: Cross multiply
    32,170.86x = 48,252.65 × 12,444.12
  4. Step 4: Simplify right side
    32,170.86x = 600,461,704.70
  5. Step 5: Solve for x
    x = 600,461,704.70/32,170.86
  6. Step 6: Final answer
    x = 18,664.77

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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.