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Finding the Fourth Proportional to 31,588.94, 47,383.41 and 9,402.64

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Solution

The fourth proportional to 31,588.94, 47,383.41 and 9,402.64 is: 14,103.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,588.94 : 47,383.41 = 9,402.64 : x
  2. Step 2: Convert to fraction form
    31,588.94/47,383.41 = 9,402.64/x
  3. Step 3: Cross multiply
    31,588.94x = 47,383.41 × 9,402.64
  4. Step 4: Simplify right side
    31,588.94x = 445,529,146.20
  5. Step 5: Solve for x
    x = 445,529,146.20/31,588.94
  6. Step 6: Final answer
    x = 14,103.96

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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.