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Finding the Fourth Proportional to 37,902.96, 56,822.04 and 14,546.16

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Solution

The fourth proportional to 37,902.96, 56,822.04 and 14,546.16 is: 21,806.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,902.96 : 56,822.04 = 14,546.16 : x
  2. Step 2: Convert to fraction form
    37,902.96/56,822.04 = 14,546.16/x
  3. Step 3: Cross multiply
    37,902.96x = 56,822.04 × 14,546.16
  4. Step 4: Simplify right side
    37,902.96x = 826,542,485.37
  5. Step 5: Solve for x
    x = 826,542,485.37/37,902.96
  6. Step 6: Final answer
    x = 21,806.81

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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.