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Finding the Fourth Proportional to 32,997.64, 49,491.20 and 9,618.60

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Solution

The fourth proportional to 32,997.64, 49,491.20 and 9,618.60 is: 14,426.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,997.64 : 49,491.20 = 9,618.60 : x
  2. Step 2: Convert to fraction form
    32,997.64/49,491.20 = 9,618.60/x
  3. Step 3: Cross multiply
    32,997.64x = 49,491.20 × 9,618.60
  4. Step 4: Simplify right side
    32,997.64x = 476,036,056.32
  5. Step 5: Solve for x
    x = 476,036,056.32/32,997.64
  6. Step 6: Final answer
    x = 14,426.37

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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.