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Finding the Fourth Proportional to 31,402.16, 47,103.38 and 8,028.60

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Solution

The fourth proportional to 31,402.16, 47,103.38 and 8,028.60 is: 12,042.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,402.16 : 47,103.38 = 8,028.60 : x
  2. Step 2: Convert to fraction form
    31,402.16/47,103.38 = 8,028.60/x
  3. Step 3: Cross multiply
    31,402.16x = 47,103.38 × 8,028.60
  4. Step 4: Simplify right side
    31,402.16x = 378,174,196.67
  5. Step 5: Solve for x
    x = 378,174,196.67/31,402.16
  6. Step 6: Final answer
    x = 12,042.94

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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.