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Finding the Fourth Proportional to 31,347.60, 47,022.12 and 7,974.24

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Solution

The fourth proportional to 31,347.60, 47,022.12 and 7,974.24 is: 11,961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,347.60 : 47,022.12 = 7,974.24 : x
  2. Step 2: Convert to fraction form
    31,347.60/47,022.12 = 7,974.24/x
  3. Step 3: Cross multiply
    31,347.60x = 47,022.12 × 7,974.24
  4. Step 4: Simplify right side
    31,347.60x = 374,965,670.19
  5. Step 5: Solve for x
    x = 374,965,670.19/31,347.60
  6. Step 6: Final answer
    x = 11,961.54

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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.