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Finding the Fourth Proportional to 39,974, 55,112.84 and 32,777.40

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Solution

The fourth proportional to 39,974, 55,112.84 and 32,777.40 is: 45,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,974 : 55,112.84 = 32,777.40 : x
  2. Step 2: Convert to fraction form
    39,974/55,112.84 = 32,777.40/x
  3. Step 3: Cross multiply
    39,974x = 55,112.84 × 32,777.40
  4. Step 4: Simplify right side
    39,974x = 1,806,455,601.82
  5. Step 5: Solve for x
    x = 1,806,455,601.82/39,974
  6. Step 6: Final answer
    x = 45,190.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.