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Finding the Fourth Proportional to 31,647, 43,669.08 and 17,497.92

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Solution

The fourth proportional to 31,647, 43,669.08 and 17,497.92 is: 24,145.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,647 : 43,669.08 = 17,497.92 : x
  2. Step 2: Convert to fraction form
    31,647/43,669.08 = 17,497.92/x
  3. Step 3: Cross multiply
    31,647x = 43,669.08 × 17,497.92
  4. Step 4: Simplify right side
    31,647x = 764,118,068.31
  5. Step 5: Solve for x
    x = 764,118,068.31/31,647
  6. Step 6: Final answer
    x = 24,145.04

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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.