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Finding the Fourth Proportional to 31,416.64, 47,100.24 and 11,684.42

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Solution

The fourth proportional to 31,416.64, 47,100.24 and 11,684.42 is: 17,517.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,416.64 : 47,100.24 = 11,684.42 : x
  2. Step 2: Convert to fraction form
    31,416.64/47,100.24 = 11,684.42/x
  3. Step 3: Cross multiply
    31,416.64x = 47,100.24 × 11,684.42
  4. Step 4: Simplify right side
    31,416.64x = 550,338,986.26
  5. Step 5: Solve for x
    x = 550,338,986.26/31,416.64
  6. Step 6: Final answer
    x = 17,517.44

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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.