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Finding the Fourth Proportional to 32,009.64, 48,021.56 and 12,288.20

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Solution

The fourth proportional to 32,009.64, 48,021.56 and 12,288.20 is: 18,435.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,009.64 : 48,021.56 = 12,288.20 : x
  2. Step 2: Convert to fraction form
    32,009.64/48,021.56 = 12,288.20/x
  3. Step 3: Cross multiply
    32,009.64x = 48,021.56 × 12,288.20
  4. Step 4: Simplify right side
    32,009.64x = 590,098,533.59
  5. Step 5: Solve for x
    x = 590,098,533.59/32,009.64
  6. Step 6: Final answer
    x = 18,435.03

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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.