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Finding the Fourth Proportional to 32,173.92, 48,226.08 and 12,446.40

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Solution

The fourth proportional to 32,173.92, 48,226.08 and 12,446.40 is: 18,656.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,173.92 : 48,226.08 = 12,446.40 : x
  2. Step 2: Convert to fraction form
    32,173.92/48,226.08 = 12,446.40/x
  3. Step 3: Cross multiply
    32,173.92x = 48,226.08 × 12,446.40
  4. Step 4: Simplify right side
    32,173.92x = 600,241,082.11
  5. Step 5: Solve for x
    x = 600,241,082.11/32,173.92
  6. Step 6: Final answer
    x = 18,656.14

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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.