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Finding the Fourth Proportional to 32,182.56, 48,260.16 and 12,457.44

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Solution

The fourth proportional to 32,182.56, 48,260.16 and 12,457.44 is: 18,680.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,182.56 : 48,260.16 = 12,457.44 : x
  2. Step 2: Convert to fraction form
    32,182.56/48,260.16 = 12,457.44/x
  3. Step 3: Cross multiply
    32,182.56x = 48,260.16 × 12,457.44
  4. Step 4: Simplify right side
    32,182.56x = 601,198,047.59
  5. Step 5: Solve for x
    x = 601,198,047.59/32,182.56
  6. Step 6: Final answer
    x = 18,680.86

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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.