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Finding the Fourth Proportional to 31,400.70, 47,101.05 and 8,025.90

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Solution

The fourth proportional to 31,400.70, 47,101.05 and 8,025.90 is: 12,038.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,400.70 : 47,101.05 = 8,025.90 : x
  2. Step 2: Convert to fraction form
    31,400.70/47,101.05 = 8,025.90/x
  3. Step 3: Cross multiply
    31,400.70x = 47,101.05 × 8,025.90
  4. Step 4: Simplify right side
    31,400.70x = 378,028,317.20
  5. Step 5: Solve for x
    x = 378,028,317.20/31,400.70
  6. Step 6: Final answer
    x = 12,038.85

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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.