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Finding the Fourth Proportional to 32,170.60, 48,263.10 and 12,447.40

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Solution

The fourth proportional to 32,170.60, 48,263.10 and 12,447.40 is: 18,673.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,170.60 : 48,263.10 = 12,447.40 : x
  2. Step 2: Convert to fraction form
    32,170.60/48,263.10 = 12,447.40/x
  3. Step 3: Cross multiply
    32,170.60x = 48,263.10 × 12,447.40
  4. Step 4: Simplify right side
    32,170.60x = 600,750,110.94
  5. Step 5: Solve for x
    x = 600,750,110.94/32,170.60
  6. Step 6: Final answer
    x = 18,673.89

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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.