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Finding the Fourth Proportional to 31,853.40, 47,765.70 and 14,314.20

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Solution

The fourth proportional to 31,853.40, 47,765.70 and 14,314.20 is: 21,464.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,853.40 : 47,765.70 = 14,314.20 : x
  2. Step 2: Convert to fraction form
    31,853.40/47,765.70 = 14,314.20/x
  3. Step 3: Cross multiply
    31,853.40x = 47,765.70 × 14,314.20
  4. Step 4: Simplify right side
    31,853.40x = 683,727,782.94
  5. Step 5: Solve for x
    x = 683,727,782.94/31,853.40
  6. Step 6: Final answer
    x = 21,464.83

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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.