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Finding the Fourth Proportional to 31,347.54, 47,021.58 and 7,974

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Solution

The fourth proportional to 31,347.54, 47,021.58 and 7,974 is: 11,961.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,347.54 : 47,021.58 = 7,974 : x
  2. Step 2: Convert to fraction form
    31,347.54/47,021.58 = 7,974/x
  3. Step 3: Cross multiply
    31,347.54x = 47,021.58 × 7,974
  4. Step 4: Simplify right side
    31,347.54x = 374,950,078.92
  5. Step 5: Solve for x
    x = 374,950,078.92/31,347.54
  6. Step 6: Final answer
    x = 11,961.07

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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.