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Finding the Fourth Proportional to 32,800.36, 49,200.90 and 9,427

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Solution

The fourth proportional to 32,800.36, 49,200.90 and 9,427 is: 14,140.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,800.36 : 49,200.90 = 9,427 : x
  2. Step 2: Convert to fraction form
    32,800.36/49,200.90 = 9,427/x
  3. Step 3: Cross multiply
    32,800.36x = 49,200.90 × 9,427
  4. Step 4: Simplify right side
    32,800.36x = 463,816,884.30
  5. Step 5: Solve for x
    x = 463,816,884.30/32,800.36
  6. Step 6: Final answer
    x = 14,140.60

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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.