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Finding the Fourth Proportional to 32,204.10, 48,300 and 10,017.75

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Solution

The fourth proportional to 32,204.10, 48,300 and 10,017.75 is: 15,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,204.10 : 48,300 = 10,017.75 : x
  2. Step 2: Convert to fraction form
    32,204.10/48,300 = 10,017.75/x
  3. Step 3: Cross multiply
    32,204.10x = 48,300 × 10,017.75
  4. Step 4: Simplify right side
    32,204.10x = 483,857,325
  5. Step 5: Solve for x
    x = 483,857,325/32,204.10
  6. Step 6: Final answer
    x = 15,024.71

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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.