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Finding the Fourth Proportional to 31,632.56, 47,457.09 and 9,445.94

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Solution

The fourth proportional to 31,632.56, 47,457.09 and 9,445.94 is: 14,171.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,632.56 : 47,457.09 = 9,445.94 : x
  2. Step 2: Convert to fraction form
    31,632.56/47,457.09 = 9,445.94/x
  3. Step 3: Cross multiply
    31,632.56x = 47,457.09 × 9,445.94
  4. Step 4: Simplify right side
    31,632.56x = 448,276,587.43
  5. Step 5: Solve for x
    x = 448,276,587.43/31,632.56
  6. Step 6: Final answer
    x = 14,171.37

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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.