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Finding the Fourth Proportional to 31,634.56, 47,460.09 and 9,447.94

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Solution

The fourth proportional to 31,634.56, 47,460.09 and 9,447.94 is: 14,174.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,634.56 : 47,460.09 = 9,447.94 : x
  2. Step 2: Convert to fraction form
    31,634.56/47,460.09 = 9,447.94/x
  3. Step 3: Cross multiply
    31,634.56x = 47,460.09 × 9,447.94
  4. Step 4: Simplify right side
    31,634.56x = 448,400,082.71
  5. Step 5: Solve for x
    x = 448,400,082.71/31,634.56
  6. Step 6: Final answer
    x = 14,174.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.