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Finding the Fourth Proportional to 31,384.98, 47,073.36 and 13,850.70

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Solution

The fourth proportional to 31,384.98, 47,073.36 and 13,850.70 is: 20,774.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,384.98 : 47,073.36 = 13,850.70 : x
  2. Step 2: Convert to fraction form
    31,384.98/47,073.36 = 13,850.70/x
  3. Step 3: Cross multiply
    31,384.98x = 47,073.36 × 13,850.70
  4. Step 4: Simplify right side
    31,384.98x = 651,998,987.35
  5. Step 5: Solve for x
    x = 651,998,987.35/31,384.98
  6. Step 6: Final answer
    x = 20,774.24

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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.