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Finding the Fourth Proportional to 32,164.60, 48,254.10 and 12,441.40

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Solution

The fourth proportional to 32,164.60, 48,254.10 and 12,441.40 is: 18,664.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,164.60 : 48,254.10 = 12,441.40 : x
  2. Step 2: Convert to fraction form
    32,164.60/48,254.10 = 12,441.40/x
  3. Step 3: Cross multiply
    32,164.60x = 48,254.10 × 12,441.40
  4. Step 4: Simplify right side
    32,164.60x = 600,348,559.74
  5. Step 5: Solve for x
    x = 600,348,559.74/32,164.60
  6. Step 6: Final answer
    x = 18,664.88

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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.