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Finding the Fourth Proportional to 31,524.32, 47,245.61 and 12,782.48

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Solution

The fourth proportional to 31,524.32, 47,245.61 and 12,782.48 is: 19,157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,524.32 : 47,245.61 = 12,782.48 : x
  2. Step 2: Convert to fraction form
    31,524.32/47,245.61 = 12,782.48/x
  3. Step 3: Cross multiply
    31,524.32x = 47,245.61 × 12,782.48
  4. Step 4: Simplify right side
    31,524.32x = 603,915,860.64
  5. Step 5: Solve for x
    x = 603,915,860.64/31,524.32
  6. Step 6: Final answer
    x = 19,157.14

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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.