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Finding the Fourth Proportional to 31,592.56, 47,399.72 and 14,074.48

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Solution

The fourth proportional to 31,592.56, 47,399.72 and 14,074.48 is: 21,116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,592.56 : 47,399.72 = 14,074.48 : x
  2. Step 2: Convert to fraction form
    31,592.56/47,399.72 = 14,074.48/x
  3. Step 3: Cross multiply
    31,592.56x = 47,399.72 × 14,074.48
  4. Step 4: Simplify right side
    31,592.56x = 667,126,411.15
  5. Step 5: Solve for x
    x = 667,126,411.15/31,592.56
  6. Step 6: Final answer
    x = 21,116.57

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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.