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Finding the Fourth Proportional to 31,495.65, 47,227.08 and 11,757.98

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Solution

The fourth proportional to 31,495.65, 47,227.08 and 11,757.98 is: 17,630.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,495.65 : 47,227.08 = 11,757.98 : x
  2. Step 2: Convert to fraction form
    31,495.65/47,227.08 = 11,757.98/x
  3. Step 3: Cross multiply
    31,495.65x = 47,227.08 × 11,757.98
  4. Step 4: Simplify right side
    31,495.65x = 555,294,885.24
  5. Step 5: Solve for x
    x = 555,294,885.24/31,495.65
  6. Step 6: Final answer
    x = 17,630.84

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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.