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Finding the Fourth Proportional to 32,274.24, 48,410.04 and 11,219.06

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Solution

The fourth proportional to 32,274.24, 48,410.04 and 11,219.06 is: 16,828.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,274.24 : 48,410.04 = 11,219.06 : x
  2. Step 2: Convert to fraction form
    32,274.24/48,410.04 = 11,219.06/x
  3. Step 3: Cross multiply
    32,274.24x = 48,410.04 × 11,219.06
  4. Step 4: Simplify right side
    32,274.24x = 543,114,943.38
  5. Step 5: Solve for x
    x = 543,114,943.38/32,274.24
  6. Step 6: Final answer
    x = 16,828.12

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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.