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Finding the Fourth Proportional to 31,635.56, 47,461.59 and 9,448.94

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Solution

The fourth proportional to 31,635.56, 47,461.59 and 9,448.94 is: 14,175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,635.56 : 47,461.59 = 9,448.94 : x
  2. Step 2: Convert to fraction form
    31,635.56/47,461.59 = 9,448.94/x
  3. Step 3: Cross multiply
    31,635.56x = 47,461.59 × 9,448.94
  4. Step 4: Simplify right side
    31,635.56x = 448,461,716.21
  5. Step 5: Solve for x
    x = 448,461,716.21/31,635.56
  6. Step 6: Final answer
    x = 14,175.87

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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.