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Finding the Fourth Proportional to 32,626.30, 48,942.68 and 10,434.10

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Solution

The fourth proportional to 32,626.30, 48,942.68 and 10,434.10 is: 15,652.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,626.30 : 48,942.68 = 10,434.10 : x
  2. Step 2: Convert to fraction form
    32,626.30/48,942.68 = 10,434.10/x
  3. Step 3: Cross multiply
    32,626.30x = 48,942.68 × 10,434.10
  4. Step 4: Simplify right side
    32,626.30x = 510,672,817.39
  5. Step 5: Solve for x
    x = 510,672,817.39/32,626.30
  6. Step 6: Final answer
    x = 15,652.18

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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.