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Finding the Fourth Proportional to 31,546.35, 47,312.22 and 9,354.38

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Solution

The fourth proportional to 31,546.35, 47,312.22 and 9,354.38 is: 14,029.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,546.35 : 47,312.22 = 9,354.38 : x
  2. Step 2: Convert to fraction form
    31,546.35/47,312.22 = 9,354.38/x
  3. Step 3: Cross multiply
    31,546.35x = 47,312.22 × 9,354.38
  4. Step 4: Simplify right side
    31,546.35x = 442,576,247.96
  5. Step 5: Solve for x
    x = 442,576,247.96/31,546.35
  6. Step 6: Final answer
    x = 14,029.40

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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.