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Finding the Fourth Proportional to 31,388.80, 47,084.24 and 11,388.16

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Solution

The fourth proportional to 31,388.80, 47,084.24 and 11,388.16 is: 17,082.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,388.80 : 47,084.24 = 11,388.16 : x
  2. Step 2: Convert to fraction form
    31,388.80/47,084.24 = 11,388.16/x
  3. Step 3: Cross multiply
    31,388.80x = 47,084.24 × 11,388.16
  4. Step 4: Simplify right side
    31,388.80x = 536,202,858.60
  5. Step 5: Solve for x
    x = 536,202,858.60/31,388.80
  6. Step 6: Final answer
    x = 17,082.62

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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.