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Finding the Fourth Proportional to 109,662.64, 164,485.50 and 30,773.68

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Solution

The fourth proportional to 109,662.64, 164,485.50 and 30,773.68 is: 46,158.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,662.64 : 164,485.50 = 30,773.68 : x
  2. Step 2: Convert to fraction form
    109,662.64/164,485.50 = 30,773.68/x
  3. Step 3: Cross multiply
    109,662.64x = 164,485.50 × 30,773.68
  4. Step 4: Simplify right side
    109,662.64x = 5,061,824,141.64
  5. Step 5: Solve for x
    x = 5,061,824,141.64/109,662.64
  6. Step 6: Final answer
    x = 46,158.15

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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.