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Finding the Fourth Proportional to 32,150.64, 48,221.16 and 12,426.72

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Solution

The fourth proportional to 32,150.64, 48,221.16 and 12,426.72 is: 18,638.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,150.64 : 48,221.16 = 12,426.72 : x
  2. Step 2: Convert to fraction form
    32,150.64/48,221.16 = 12,426.72/x
  3. Step 3: Cross multiply
    32,150.64x = 48,221.16 × 12,426.72
  4. Step 4: Simplify right side
    32,150.64x = 599,230,853.40
  5. Step 5: Solve for x
    x = 599,230,853.40/32,150.64
  6. Step 6: Final answer
    x = 18,638.22

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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.