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Finding the Fourth Proportional to 31,461.98, 47,224.17 and 27,927.14

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Solution

The fourth proportional to 31,461.98, 47,224.17 and 27,927.14 is: 41,918.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,461.98 : 47,224.17 = 27,927.14 : x
  2. Step 2: Convert to fraction form
    31,461.98/47,224.17 = 27,927.14/x
  3. Step 3: Cross multiply
    31,461.98x = 47,224.17 × 27,927.14
  4. Step 4: Simplify right side
    31,461.98x = 1,318,835,770.85
  5. Step 5: Solve for x
    x = 1,318,835,770.85/31,461.98
  6. Step 6: Final answer
    x = 41,918.40

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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.